Displaying similar documents to “An index theorem for systems of difference operators on a half space”

Perturbation theory relative to a Banach algebra of operators

Bruce Barnes (1993)

Studia Mathematica

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Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. Let S be a closed linear operator in X, and let R be a linear operator in X. In this paper the spectral and Fredholm theory relative to ℬ of the perturbed operator S + R is developed. In particular, the situation where R is S-inessential relative to ℬ is studied. Several examples are given to illustrate the usefulness of these concepts.

On the axiomatic theory of spectrum II

M. Mbekhta, V. Müller (1996)

Studia Mathematica

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We give a survey of results concerning various classes of bounded linear operators in a Banach space defined by means of kernels and ranges. We show that many of these classes define a spectrum that satisfies the spectral mapping property.