Functional Analysis Reference Books












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I'm taking a measure-theory based graduate course on Functional Analysis that covers essentially Folland's Chapter 5-9. Is there another book that I could reference that perhaps has wordier exposition that explains things in a bit more detail (not Rudin please). Thank you.










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    $begingroup$


    I'm taking a measure-theory based graduate course on Functional Analysis that covers essentially Folland's Chapter 5-9. Is there another book that I could reference that perhaps has wordier exposition that explains things in a bit more detail (not Rudin please). Thank you.










    share|cite|improve this question









    $endgroup$















      4












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      4


      1



      $begingroup$


      I'm taking a measure-theory based graduate course on Functional Analysis that covers essentially Folland's Chapter 5-9. Is there another book that I could reference that perhaps has wordier exposition that explains things in a bit more detail (not Rudin please). Thank you.










      share|cite|improve this question









      $endgroup$




      I'm taking a measure-theory based graduate course on Functional Analysis that covers essentially Folland's Chapter 5-9. Is there another book that I could reference that perhaps has wordier exposition that explains things in a bit more detail (not Rudin please). Thank you.







      real-analysis functional-analysis measure-theory






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      asked Dec 18 '18 at 0:25









      kembkemb

      722314




      722314






















          1 Answer
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          4












          $begingroup$

          Erwin Kreyszig's book Introductory Functional Analysis is very good and I think one of the standard recommended texts. In my opinion the book is very very good with lots of clear exposition and plenty of exercises with some solutions.



          It can be found here.



          Hope this helps.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
            $endgroup$
            – kemb
            Dec 18 '18 at 21:42










          • $begingroup$
            I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:35










          • $begingroup$
            Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:36












          • $begingroup$
            Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
            $endgroup$
            – kemb
            Dec 23 '18 at 6:25











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          1 Answer
          1






          active

          oldest

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          active

          oldest

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          active

          oldest

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          4












          $begingroup$

          Erwin Kreyszig's book Introductory Functional Analysis is very good and I think one of the standard recommended texts. In my opinion the book is very very good with lots of clear exposition and plenty of exercises with some solutions.



          It can be found here.



          Hope this helps.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
            $endgroup$
            – kemb
            Dec 18 '18 at 21:42










          • $begingroup$
            I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:35










          • $begingroup$
            Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:36












          • $begingroup$
            Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
            $endgroup$
            – kemb
            Dec 23 '18 at 6:25
















          4












          $begingroup$

          Erwin Kreyszig's book Introductory Functional Analysis is very good and I think one of the standard recommended texts. In my opinion the book is very very good with lots of clear exposition and plenty of exercises with some solutions.



          It can be found here.



          Hope this helps.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
            $endgroup$
            – kemb
            Dec 18 '18 at 21:42










          • $begingroup$
            I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:35










          • $begingroup$
            Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:36












          • $begingroup$
            Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
            $endgroup$
            – kemb
            Dec 23 '18 at 6:25














          4












          4








          4





          $begingroup$

          Erwin Kreyszig's book Introductory Functional Analysis is very good and I think one of the standard recommended texts. In my opinion the book is very very good with lots of clear exposition and plenty of exercises with some solutions.



          It can be found here.



          Hope this helps.






          share|cite|improve this answer









          $endgroup$



          Erwin Kreyszig's book Introductory Functional Analysis is very good and I think one of the standard recommended texts. In my opinion the book is very very good with lots of clear exposition and plenty of exercises with some solutions.



          It can be found here.



          Hope this helps.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 18 '18 at 0:42









          user551642user551642

          2527




          2527












          • $begingroup$
            Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
            $endgroup$
            – kemb
            Dec 18 '18 at 21:42










          • $begingroup$
            I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:35










          • $begingroup$
            Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:36












          • $begingroup$
            Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
            $endgroup$
            – kemb
            Dec 23 '18 at 6:25


















          • $begingroup$
            Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
            $endgroup$
            – kemb
            Dec 18 '18 at 21:42










          • $begingroup$
            I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:35










          • $begingroup$
            Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
            $endgroup$
            – user551642
            Dec 18 '18 at 23:36












          • $begingroup$
            Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
            $endgroup$
            – kemb
            Dec 23 '18 at 6:25
















          $begingroup$
          Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
          $endgroup$
          – kemb
          Dec 18 '18 at 21:42




          $begingroup$
          Hi, is there any measure theory based functional analysis books, I looked through this book and I don't believe it uses measure theory
          $endgroup$
          – kemb
          Dec 18 '18 at 21:42












          $begingroup$
          I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
          $endgroup$
          – user551642
          Dec 18 '18 at 23:35




          $begingroup$
          I'm not sure about a textbook that teaches both but I found these notes (mat.uniroma2.it/~cannarsa/cam_0607.pdf) which seem to do both although they seem to lack exposition.
          $endgroup$
          – user551642
          Dec 18 '18 at 23:35












          $begingroup$
          Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
          $endgroup$
          – user551642
          Dec 18 '18 at 23:36






          $begingroup$
          Alternatively you could learn measure theory from say Tao's book (terrytao.files.wordpress.com/2011/01/measure-book1.pdf) which is excellent and then go through Kreyszig at the same time. Personally I learned measure theory first (from Tao) and then did Kreyszig.
          $endgroup$
          – user551642
          Dec 18 '18 at 23:36














          $begingroup$
          Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
          $endgroup$
          – kemb
          Dec 23 '18 at 6:25




          $begingroup$
          Hi I have already taken a course on measure theory so I don’t need a book to learn it. I mean is there a book similar to Follands that teaches functional analysis using measure theoretic concepts. For example Folland’s Chapter 7 is on radon measures and he uses measure theory concepts for chapters 8 and 9
          $endgroup$
          – kemb
          Dec 23 '18 at 6:25


















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