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Functional analysis : = an elementar...

Haase, Markus, (1970-)

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Functional analysis : = an elementary introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysis :/ Markus Haase.
其他題名:	an elementary introduction /
作者:	Haase, Markus,
面頁冊數:	1 online resource (xviii, 372 pages)
標題:	Functional analysis - Textbooks. -
電子資源:	http://www.ams.org/gsm/156
電子資源:	https://doi.org/10.1090/gsm/156
ISBN:	9781470418588 (online)

Functional analysis : = an elementary introduction /
Haase, Markus,1970-

Functional analysis :an elementary introduction /[electronic resource] Markus Haase. - 1 online resource (xviii, 372 pages) - Graduate Studies in Mathematics, v. 156.

Includes bibliographical references (pages 355-357) and indexes.

Chapter 1. Inner product spaces

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014

Mode of access : World Wide Web

ISBN: 9781470418588 (online)Subjects--Topical Terms:

3229060
Functional analysis
--Textbooks.

LC Class. No.: QA320 / .H23 2014

Dewey Class. No.: 515/.7

Functional analysis : = an elementary introduction /
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504 $a Includes bibliographical references (pages 355-357) and indexes.
505 0 0 $t Chapter 1. Inner product spaces $t Chapter 2. Normed spaces $t Chapter 3. Distance and approximation $t Chapter 4. Continuity and compactness $t Chapter 5. Banach spaces $t Chapter 6. The contraction principle $t Chapter 7. The Lebesgue spaces $t Chapter 8. Hilbert space fundamentals $t Chapter 9. Approximation theory and Fourier analysis $t Chapter 10. Sobolev spaces and the Poisson problem $t Chapter 11. Operator theory I $t Chapter 12. Operator theory II $t Chapter 13. Spectral theory of compact self-adjoint operators $t Chapter 14. Applications of the spectral theorem $t Chapter 15. Baire's theorem and its consequences $t Chapter 16. Duality and the Hahn-Banach theorem $t Historical remarks $t Appendix A. Background $t Appendix B. The completion of a metric space $t Appendix C. Bernstein's proof of Weierstrass' theorem $t Appendix D. Smooth cutoff functions $t Appendix E. Some topics from Fourier analysis $t Appendix F. General orthonormal systems
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2014
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
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650 7 $a Functional analysis -- Miscellaneous applications of functional analysis -- Applications to differential and integral equations. $2 msc $3 3775501
650 7 $a Partial differential equations -- Elliptic equations and systems -- Elliptic equations and systems. $2 msc $3 3775502
650 7 $a Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems. $2 msc $3 3775503
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856 4 $3 Contents $u http://www.ams.org/gsm/156
856 4 $3 Contents $u https://doi.org/10.1090/gsm/156