### Toeplitz Operators and Index Theory in Several Complex Variables

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Burns, D.

Dynin, A. Nauk SSSR n o 4. Soviet Math. Fedosov, B. Trudy Moskov. Grauert, H. Guillemin, V. To appear Google Scholar.

Kashiwara, M. Seminaire Goulaouic-Schwartz —, exp.

## Operator theory

Kohn, J. USA 49 , — Google Scholar. Melin, A. K -Theory and operator algebras, Lecture Notes n o Sato, M.

## $K$-theory and Toeplitz $C^\ast $-algebras - a survey

Venugopalkrishna, V. Personalised recommendations. Cite article How to cite? ENW EndNote. Buy options. Also we compute a class of Hua type integrals generalizing an earlier result of Faraut and Koranyi. In , Caradus provided a practical condition for identifying such universal operators. In this talk, we will use the Caradus theorem to exhibit a new example of a universal operator and show how it can be used to provide information about invariant subspaces for Hilbert space operators.

Since we consider killing boundary conditions, there is always an exponential-type decay for the heat semigroup. The proof employs the existence of Hardy-type inequalities for the Dirichlet Laplacian in the tubular neighbourhoods on negatively curved manifolds and the method of self-similar variables and weighted Sobolev spaces for the heat equation.

### Bibliographic Information

We explain briefly the physical motivation and describe the classes of operators that are considered. We explain relations between the operator classes, namely their non-equivalence, and mention open problems. In the second part, we focus on the similarity to self-adjoint operators. Using functional calculus, closed formulas for the similarity transformation and the similar self-adjoint operator are derived in particular cases.

The argument is based on known semiclassical results. Older session pages: Previous 2 Oldest.

This web site relies heavily on the availability of Javascript. The talk is based on a joint work with Z. Jung and J.

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Stochel, and M. References P. Dymek, Z. Jung, J. Stochel, Subnormality of unbounded weighted shifts on directed trees, J.

## Table of Contents

Stochel, Subnormality of unbounded weighted shifts on directed trees. II, J. Stochel, Weighted shifts on directed trees, Mem.

Soc , no. Stochel, A non-hyponormal operator generating Stieltjes moment sequences, J. No preliminary knowledge of Jacobi Matrices or Orthogonal Polynomials to be required. This is joint work with A. Baranov, A.