Invertibility and Singularity for Bounded Linear Operators.

HARTE, Robin.:

ISBN 10: 0824777549 ISBN 13: 9780824777548

Editorial: New York & Basel: Marcel Dekker, 1988

Idioma: Ingl�s

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Descripci�n

1st. Edn. pp. xii, 590. A fine hardback copy in the original laminated printed boards.

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Detalles bibliogr�ficos

T�tulo

Invertibility and Singularity for Bounded Linear Operators.

Editor

New York & Basel: Marcel Dekker

Fecha de publicaci�n

1988

Idioma

Ingl�s

ISBN 10

0824777549

ISBN 13

9780824777548

Encuadernaci�n

Encuadernaci�n de tapa dura

Edici�n

1� Edici�n

Cat�logos de vendedores

Mathematics.

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Sinopsis

Book by Harte Robin

Rese�a del editor

This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras, and multiparameter spectral theory. The treatment develops the theory of open and almost open operators between incomplete spaces. It builds the enlargement of a normed space and of a bounded operator and sets up an elementary algebraic framework for Fredholm theory. The approach extends from the definition of a normed space to the fringe of modern multiparameter spectral theory and concludes with a discussion of the varieties of joint spectrum. This edition contains a brief new Prologue by author Robin Harte as well as his lengthy new Epilogue, "Residual Quotients and the Taylor Spectrum." Dover republication of the edition published by Marcel Dekker, Inc., New York, 1988.

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