This text has two goals. It describes a topic: band and band-dominated operators and their Fredholm theory, and it introduces a method to study this topic: limit operators. Band-dominated operators. Let H = [2(Z) be the Hilbert space of all squared summable functions x: Z -] Xi provided with the norm 2 2 X IIxl1: =L I iI . iEZ It is often convenient to think of the elements x of [2(Z) as two-sided infinite sequences (Xi)iEZ. The standard basis of [2(Z) is the family of sequences (ei)iEZ where ei = (. . .,0,0, 1,0,0, . . . ) ...

Limit Operators and Their Applications in Operator Theory 2012, Birkhauser

ISBN-13: 9783034896191

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Limit Operators and Their Applications in Operator Theory 2004, Birkhauser, Basel, Switzerland

ISBN-13: 9783764370817

2004 edition

Hardcover

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