Estimates and higher-order spectral shift measures in several variables

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Perturbation theory of linear operators (47A55)

Cites Work

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Spectral shift function of higher order
Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality
Trace formula for nontrace-class perturbations
Absolute continuity of spectral shift
Similarity problems and completely bounded maps
Tensor product of a finite number of spectral measures is always a spectral measure
Operator monotone functions and Löwner functions of several variables
Stability and uniqueness properties of Taylor approximations of matrix functions
Trace formulas for multivariate operator functions
Trace formulas for additive and non-additive perturbations
Higher order spectral shift
Multiple operator integrals and higher operator derivatives
Taylor approximations of operator functions
Jensen's Trace Inequality in Several Variables
Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL
Multilinear Operator Integrals
On uniqueness of higher order spectral shift functions
Higher‐order spectral shift for contractions
MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES
Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
Large scale detection of half-flats in CAT(0)-spaces

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