Invertibility and Singularity for Bounded Linear Operators eBook

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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.

This is a digital product.

Invertibility and Singularity for Bounded Linear Operators is written by Robin Harte and published by Dover Publications. The Digital and eTextbook ISBNs for Invertibility and Singularity for Bounded Linear Operators are 9780486817880, 0486817881 and the print ISBNs are 9780486810300, 0486810305.