Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages :
Book Description
Elements of the Theory of Functions and Functional Analysis: Metric and normed spaces. v. 2. Measure. The Lebesgue integral. Hilbert space
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages :
Book Description
Elements of the Theory of Functions and Functional Analysis
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 152
Book Description
Elements of the Theory of Functions and Functional Analysis, V.2
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 128
Book Description
Elements of the theory of functions and functional analysis. 2. Measure, the Lebesgue integral, Hilbert space
Author: Andrej N. KolmogorovPublisher:
ISBN:
Category :
Languages : en
Pages : 128
Book Description
Elements of the Theory of Functions and Functional Analysis
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 150
Book Description
Functional Analysis: Entering Hilbert Space (Second Edition)
Author: Vagn Lundsgaard HansenPublisher: World Scientific Publishing Company
ISBN: 9814733946
Category : Mathematics
Languages : en
Pages : 193
Book Description
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.In this second edition, I have expanded the material on normed vector spaces and their operators presented in Chapter 1 to include proofs of the Open Mapping Theorem, the Closed Graph Theorem and the Hahn-Banach Theorem. The material on operators between normed vector spaces is further expanded in a new Chapter 6, which presents the basic elements of the theory of Fredholm operators on general Banach spaces, not only on Hilbert spaces. This requires that we develop the theory of dual operators between Banach spaces to replace the use of adjoint operators between Hilbert spaces.With the addition of the new material on normed vector spaces and their operators, the book can serve as a general introduction to functional analysis viewed as a theory of infinite dimensional linear spaces and linear operators acting on them.
Elements of the Theory of Functions and Functional Analysis
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 129
Book Description
Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces
Author: Andreĭ Nikolaevich KolmogorovPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Elements of the Theory of Functions and Functional Analysis: Metric and normed spaces
Author: Andreĭ Nikolaevich KolmogorovPublisher: Courier Corporation
ISBN:
Category : Functional analysis
Languages : en
Pages : 148
Book Description
Elements of the Theory of Functions and Functional Analysis Vol 2 Measure
Author: A. N. KolmogorovPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
