An index theorem for systems of difference operators on a half space
David G. Schaeffer (1973)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “-algebras of operators on a half-space, II. Index theory”
An index theorem for systems of difference operators on a half space
On the two-fold symbol chain of a C*-algebra of singular integral operators on a polycylinder.
Heinz O. Cordes (1986)
Revista Matemática Iberoamericana
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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.
Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas
Grigori Rozenblum (2000-2001)
Séminaire Équations aux dérivées partielles
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For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.
Closed operators affiliated with a Banach algebra of operators
Bruce Barnes (1992)
Studia Mathematica
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Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.
Approximation by Fredholm operators in the metric space of closed operators
L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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algebras of operators on a half-space
L. A. Coburn, R. G. Douglas (1971)
Publications Mathématiques de l'IHÉS
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-theory and Toeplitz -algebras a survey
Matthias Lesch (1990-1991)
Séminaire de théorie spectrale et géométrie
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The geometry of Kato Grassmannians
Bogdan Bojarski, Giorgi Khimshiashvili (2005)
Open Mathematics
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We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.