This article is cited in 7 papers

Cyclically compact operators in Banach spaces

A. G. Kusraev

Vladikavkaz

Abstract: The Boolean-valued interpretation of compactness gives rise to the new notions of cyclically compact sets and operators which deserves an independent study. A part of the corresponding theory is presented in this work. General form of cyclically compact operators in Kaplansky–Hilbert module as well as a variant of Fredholm Alternative for cyclically compact operators are also given.

UDC: 517.98

Received: 26.03.2000

Language: English

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