-algebras of operators on a half-space, II. Index theory
Lewis A. Coburn, Ronald G. Douglas, David G. Schaeffer, Isadore M. Singer (1971)
Publications Mathématiques de l'IHÉS
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Lewis A. Coburn, Ronald G. Douglas, David G. Schaeffer, Isadore M. Singer (1971)
Publications Mathématiques de l'IHÉS
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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.
H. J. Brascamp (1969)
Compositio Mathematica
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Heinz O. Cordes (1986)
Revista Matemática Iberoamericana
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Grigori V. Rozenblum (1994)
Journées équations aux dérivées partielles
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Robert B. Lockhart, Robert C. Mc Owen (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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