Published May 11, 2010 | Version v1
Journal article

The Taylor spectrum and transversality for a Heisenberg algebra of operators

Creators

  • 1. Middle East Technical University Northern Cyprus Campus (Cyprus)

Description

A problem on noncommutative holomorphic functional calculus is considered for a Banach module over a finite-dimensional nilpotent Lie algebra. As the main result, the transversality property of algebras of noncommutative holomorphic functions with respect to the Taylor spectrum is established for a family of bounded linear operators generating a Heisenberg algebra. Bibliography: 25 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2010v201n03ABEH004076

Additional details

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
201
Journal Issue
3
Journal Page Range
p. 355-375
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42012070
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Bibliography
Descriptors DEI
ALGEBRA; BIBLIOGRAPHIES; COMMUTATION RELATIONS; FUNCTIONS; HEISENBERG PICTURE; LIE GROUPS
Descriptors DEC
DOCUMENT TYPES; MATHEMATICS; SYMMETRY GROUPS