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＜電子ブック＞
Functional analysis : an elementary introduction / Markus Haase
(Graduate Studies in Mathematics ; v. 156)

出版者	(Providence, Rhode Island : American Mathematical Society)
出版年	[2014]
大きさ	1 online resource (xviii, 372 pages)
著者標目	*Haase, Markus 1970-
件　名	LCSH:Functional analysis -- Textbooks  全ての件名で検索 LCSH:Differential equations, Partial -- Textbooks  全ての件名で検索 FREE:Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)  全ての件名で検索 FREE:Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces  全ての件名で検索 FREE:Functional analysis -- Miscellaneous applications of functional analysis -- Applications to differential and integral equations  全ての件名で検索 FREE:Partial differential equations -- Elliptic equations and systems -- Elliptic equations and systems  全ての件名で検索 FREE:Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems  全ての件名で検索
内容注記	Chapter 1. Inner product spaces Chapter 2. Normed spaces Chapter 3. Distance and approximation Chapter 4. Continuity and compactness Chapter 5. Banach spaces Chapter 6. The contraction principle Chapter 7. The Lebesgue spaces Chapter 8. Hilbert space fundamentals Chapter 9. Approximation theory and Fourier analysis Chapter 10. Sobolev spaces and the Poisson problem Chapter 11. Operator theory I Chapter 12. Operator theory II Chapter 13. Spectral theory of compact self-adjoint operators Chapter 14. Applications of the spectral theorem Chapter 15. Baire's theorem and its consequences Chapter 16. Duality and the Hahn-Banach theorem Historical remarks Appendix A. Background Appendix B. The completion of a metric space Appendix C. Bernstein's proof of Weierstrass' theorem Appendix D. Smooth cutoff functions Appendix E. Some topics from Fourier analysis Appendix F. General orthonormal systems
一般注記	Includes bibliographical references (pages 355-357) and indexes Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/156 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/156 Information=Contents

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