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Author:
Publisher: Elsevier
ISBN: 0080871364
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.
Author:
Publisher: Elsevier
ISBN: 0080871364
Category : Mathematics
Languages : en
Pages : 235
Get Book Here
Book Description
This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.
Author: João B. Prolla
Publisher:
ISBN:
Category : Approximation theory
Languages : nl
Pages :
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Book Description
Author: Lee W. Johnson
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 110
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Book Description
Author: M. Brannigan
Publisher:
ISBN: 9780798811583
Category :
Languages : en
Pages : 10
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Book Description
Author: Chuang-Gan Hu
Publisher: Springer Science & Business Media
ISBN: 9401580308
Category : Mathematics
Languages : en
Pages : 171
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Book Description
This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables. The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included. This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.
Author: M. Kisielewicz
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
Author: Richard E. Williamson
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 644
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Book Description
Author: Robert Creighton Buck
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 15
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Book Description
Set theory, Topology, TheoremsWeierstrass theorem, Modules(Mathematics)Let M be a closed C(X) submodule of the space C(X:E) of all bounded continuous functions on the compact space X with values in the normed linear space E. Then, it is shown that the linear functionals phi on C(X:E) that are extreme in the set of those which annihilate M and have norm at most one are exactly those of the form phi(g) = L(g(x sub 0)), where x sub 0 is a point of X and L is an extreme point of the set of functionals of norm one on E that annihilate the subspace M(x sub 0)=(all f(x sub 0) for f epsilon M). The proof uses various forms of the Weierstrass approximation theorem for modules. (Author).
Author: Avram Sidi
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 28
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Book Description
Author: Alexander Constantine Bacopoulos
Publisher:
ISBN:
Category : Approximation
Languages : en
Pages : 146
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Book Description
