On some analytical index formulas related to operator-valued symbols.

Rozenblum, Grigori

Displaying similar documents to “On some analytical index formulas related to operator-valued symbols.”

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.

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Index formulas for pseudodifferential operators with discontinuous symbols

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Raymond Brummelhuis (2001)

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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.

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Electronic Journal of Differential Equations (EJDE) [electronic only]

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Pseudodifferential operators with generalized symbols and regularity theory.

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Additive combinations of special operators

Pei Wu (1994)

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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...

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Hormann, Gunther, Oberguggenberger, Michael (2004)

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Normal forms of real symmetric systems with multiplicity

P. Braam, J. Duistermaat (1995)

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Functions of operators and their commutators in perturbation theory

Yu. Farforovskaya (1994)

Banach Center Publications

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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.