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Riassunto: The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.
Sinossi: This volume, part of the Springer classics in mathematics series, looks at functional analysis.
Titolo: Functional analysis (Die Grundlehren der ...
Casa editrice: Springer-Verlag
Data di pubblicazione: 1971
Condizione libro: very good
Descrizione libro Springer-Verlag, 1971. Hardcover. Condizione libro: Very Good. Ex-library copy with usual markings. Codice libro della libreria mon0001486951
Descrizione libro Springer-Verlag, 1971. Hardcover. Condizione libro: Good. Ex-library copy with usual markings. Codice libro della libreria mon0001495906
Descrizione libro 1971. Hardcover. Condizione libro: Good. No Jacket. 3rd Edition. Good ex-university library hardcover without dust jacket. 3rd edition, 1971, Springer-Verlag, ISBN 0387055061. Usual library markings. Inside hinge slit, binding slightly shaken. Yellow cloth with black lettering. Clean text. 8vo, 475 pp. O16. Codice libro della libreria 129-4UF-YQP
Descrizione libro Condizione libro: Good. Book Condition: Good. Codice libro della libreria 97803870550604.0
Descrizione libro Condizione libro: Very Good. Book Condition: Very Good. Codice libro della libreria 97803870550603.0
Descrizione libro Berlin/Heidelberg: Springer 1971., 1971. G-VG Hardback; owner's stamp on edges; no DJ. xi + 465 pp. Codice libro della libreria 004259