Some remarks on spherical isometries

J Eschmeier, M Putinar - … , Singular Integral Operators, and Related Topics …, 2001 - Springer
Spherical isometries are subnormal tuples of commutative Hilbert space operators which
generalize the notion of an isometry to the multivariable case. We review recent …

On pure subnormal operators with finite rank self-commutators and related operator tuples

D **a - Integral Equations and Operator Theory, 1996 - Springer
In this paper, we study the model of a pure subnormal operator with finite rank self-
commutator and of the related n-tuple of commuting linear bounded operators. We also give …

Joint torsion of Toeplitz operators with H symbols

R Carey, J Pincus - Integral Equations and Operator Theory, 1999 - Springer
We give a new 2 index theorem for the basic example of Toeplitz operators on the circle. The
joint torsion, a non zero complex valued analytic index, of a pair of Fredholm Toeplitz …

Trace formulas for some operators related to quadrature domains in Riemann surfaces

D **a - Integral equations and operator theory, 2003 - Springer
This note studies the trace formula of a class of pure operators A with finite rank self-
commutators satisfying the condition that there is a finite dimensional subspace containing …

**a's analytic model of a subnormal operator and its applications

J Gleason, CR Rosentrater - The Rocky Mountain Journal of Mathematics, 2008 - JSTOR
XIA'S ANALYTIC MODEL OF A SUBNORMAL OPERATOR AND ITS APPLICATIONS Page 1
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 38, Number 3, 2008 XIA'S …

Trace formulas for a class of subnormal tuples of operators

D **a - Integral Equations and Operator Theory, 1993 - Springer
Trace formulas are established for the product of commutators related to subnormal tuple of
operators (S 1,..., S n) with minimal normal extension (N 1,..., N n) satisfying conditions that …

Trace formulae in operator theory

A Chattopadhyay, KB Sinha - … Workshop in Operator Theory and its …, 2015 - Springer
Trace Formulae in Operator Theory Page 1 Operator Theory: Advances and Applications, Vol.
247, 1–36 c Trace Formulae in Operator Theory Arup Chattopadhyay and Kalyan B. Sinha …

[BOOK][B] Subnormal and Fredholm tuples of operators

JA Gleason - 2002 - search.proquest.com
UM I Page 1 UM I |MICROFILMED 2002 Reproduced with permission of the copyright owner.
Further reproduction prohibited without permission. Page 2 GGGGGLGGGGGGG GG aaLLL …

A Commutator Formula for Subnormal Tuples of Operators

D **a - Integral Equations and Operator Theory, 2015 - Springer
Abstract Let S=(S_1, ..., S_k) S=(S 1,…, S k) be a pure subnormal k-tuple of operators with
minimal normal extension NN and defect space M M. Let\Lambda_j=(S_j^*| _ M)^* Λ j=(S j∗ …

[CITATION][C] A remark on the spectral multiplicity of normal extensions of commuting subnormal operator tuples

J Pincus, D Zheng - Integral equations and operator theory, 1993 - Springer
We observe that that the absolutely continuous part of the minimal normal extension N---
(N1,..., Ark) of a completely subnormal k-tuple of commuting operators S={$1,..., Sk} is …