UNBOUNDED TOEPLITZ-OPERATORS IN THE SEGAL-BARGMANN SPACE .2.

Authors
JANAS J STOCHEL J
Citation
J. Janas et J. Stochel, UNBOUNDED TOEPLITZ-OPERATORS IN THE SEGAL-BARGMANN SPACE .2., Journal of functional analysis, 126(2), 1994, pp. 418-447
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
126
Issue
2
Year of publication
1994
Pages
418 - 447
Database
ISI
SICI code
0022-1236(1994)126:2<418:UTITSS>2.0.ZU;2-V
Abstract
The paper mostly deals with the questions of closedness and essential selfadjointness of Toeplitz operators in the Segal-Bargmann space. Gen eral criteria for their closedness are formulated. Examples of unclose d Toeplitz operators are given. Explicit formulas for their adjoints a re shown for various classes of symbols. The problem of whether polyno mials and exponents form cores for Toeplitz operators is investigated. The results presented here improve and extend the ones from an earlie r paper. (C) 1994 Academic Press, Inc.