Perturbation theory for generalized Fredholm operators. II
نویسندگان
چکیده
منابع مشابه
Fredholm Operators and the Generalized Index
One of the most fundamental problems in mathematics is to solve linear equations of the form Tf = g, where T is a linear transformation, g is known, and f is some unknown quantity. The simplest example of this comes from elementary linear algebra, which deals with solutions to matrix-vector equations of the form Ax = b. More generally, if V,W are vector spaces (or, in particular, Hilbert or Ban...
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An extension of classical stability theory to address the stability of perturbations to time-dependent systems is described. Nonnonnality is found to play a central role in determining the stability of systems �ovemed by nonautonomous operators associated with time-dependent systems. This pivotal role of nonnonnahty provIdes a conceptual bridge by which the generalized stability theory develope...
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We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space. As application, we describe the essential spectra of weighted shift operators. Finally, we describe the spectra of polynomially compact operators, a...
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Certain norm-related functions have been considered in order to obtain characterisations and perturbation results for various classes of semi-Fredholm-type operators. In the §2, by means of what we have called a perturbation function, we present a general approach to the question of obtaining characterisations and perturbation theorems for F + and strictly singular operators. To this end, for e...
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The work of Ambrozie and Vasilescu on perturbations of Fredholm complexes is generalized by discussing the stability theory of Banach space complexes under inessential perturbations. 2000 Mathematics Subject Classification: Primary: 47A53; Secondary: 47A13.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0435896-8