Normal Operators on the Banach Space $L P\left({- \infty , \infty} \right)$ PDF Download
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Author: Gregers L. Krabbe
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 46
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Book Description
Author: Gregers L. Krabbe
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 46
Get Book Here
Book Description
Author: Gregers L. Krabbe
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 42
Get Book Here
Book Description
Author: Gregers L. Krabbe
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 42
Get Book Here
Book Description
Author: Gregers L. Krabbe
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 72
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Book Description
Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
ISBN: 0817645969
Category : Mathematics
Languages : en
Pages : 877
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Book Description
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Author: Kirsti Mattila
Publisher:
ISBN: 9789514103339
Category : Banach algebras
Languages : en
Pages : 48
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Book Description
Author: Ronald G. Douglas
Publisher: Springer Science & Business Media
ISBN: 9780387983776
Category : Mathematics
Languages : en
Pages : 224
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Book Description
A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.
Author: Vladimir Kadets
Publisher: Springer
ISBN: 3319713337
Category : Mathematics
Languages : en
Pages : 176
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Book Description
This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X → Y there exists a modulus-one scalar ω such that ǁ G+ωTǁ = 1 + ǁTǁ. This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L1. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.
Author: Ju. L. Daleckii
Publisher: American Mathematical Soc.
ISBN: 0821832387
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Author: V. S. Sunder
Publisher: Springer
ISBN: 9811018162
Category : Mathematics
Languages : en
Pages : 107
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Book Description
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.
