Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Generalizations of semi-Fredholm operators

Author: Richard Bouldin
Journal: Proc. Amer. Math. Soc. 123 (1995), 3757-3764
MSC: Primary 47A53; Secondary 47A05, 47A58
MathSciNet review: 1301011
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Abstract: On nonseparable Hilbert spaces there are multiple sets of operators that are analogous to the semi-Fredholm operators on a separable space. We develop the properties of these sets and relate those properties to some recent research. We conclude with a theorem that indicates precisely how far one can go from a given generalized semi-Fredholm operator (or generalized Fredholm operator) and retain the property of generalized semi-Fredholmness (or generalized Fredholmness).

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Keywords: Semi-Fredholm operator, nonseparable Hilbert space, essential nullity, modulus of invertibility, stability theorem
Article copyright: © Copyright 1995 American Mathematical Society