Functional Analysis (Grundlehren Der Mathematischen Wissenschaften)
| Author | : | |
| Rating | : | 4.38 (688 Votes) |
| Asin | : | 0387102108 |
| Format Type | : | paperback |
| Number of Pages | : | 500 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
Biography of Kôsaku YosidaKôsaku Yosida (7.2.1909-20.6.1990) was born in Hiroshima, Japan. After studying mathematics a the University of Tokyo he held posts at Osaka and Nagoya Universities before returning to the University of Tokyo in 1955.Yosida obtained important and fundame
e. 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. SOBOLEV and L. The reader may pass, e. g. 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. SCHWARTZ. , 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). L. The present book is based on lectures given by the author at the University of Tokyo during the past ten years. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. 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 Ch
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About the AuthorBiography of Kôsaku YosidaKôsaku Yosida (7.2.1909-20.6.1990) was born in Hiroshima, Japan. Hille which brought forth a theory of semigroups of operators successfully applied to diffusion equations, Markov processes, hyperbolic equations and potential theory. His famous textbook on Functional Analysis was published in 6 distinct editions between 1965 and 1980.. He is best remembered for his joint work with E. After studying mathematics a the University of Tokyo he held posts at Osaka and Nagoya Universities before returning to the University of Tokyo in 1955.Yosida obtained important and fundamental results in functional analysis and probability