Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define a smooth functional calculus for a non-commuting tuple of (unbounded) operators $A_j$ on a Banach space with real spectra and resolvents with temperate growth, by means of an iterated Cauchy formula. The construction is also extended to tuples of more general operators allowing smooth functional calculii. We also discuss the relation to the case with commuting operators.

Keywords

Spectral Theory, Complex Variables, 47A60; 47A13; 32A25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66675

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303024
 http://arxiv.org/abs/math/0303024

Collections

arXiv