Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00334145" target="_blank" >RIV/67985840:_____/09:00334145 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n

Original language description

We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of C-d. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F06%2F0128" target="_blank" >GA201/06/0128: Methods of function theory and Banach algebras in operator theory III.</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

—

Volume of the periodical

137

Issue of the periodical within the volume

11

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

—

UT code for WoS article

000271236000014

EID of the result in the Scopus database

—