The Taylor spectrum and transversality for a Heisenberg algebra of operators

Date

2010-03-01

Author

Dosi, A. A.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

160
views

0
downloads

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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/63620

Journal

SBORNIK MATHEMATICS

DOI

https://doi.org/10.1070/sm2010v201n03abeh004076

Collections

Graduate School of Marine Sciences, Article

Suggestions

OpenMETU
Core

The classical involution theorem for groups of finite Morley rank Berkman, A (Elsevier BV, 2001-09-15) This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.
Some maximal function fields and additive polynomials GARCİA, Arnaldo; Özbudak, Ferruh (Informa UK Limited, 2007-01-01) We derive explicit equations for the maximal function fields F over F-q(2n) given by F = F-q(2n) (X, Y) with the relation A(Y) = f(X), where A(Y) and f(X) are polynomials with coefficients in the finite field F-q(2n), and where A(Y) is q- additive and deg(f) = q(n) + 1. We prove in particular that such maximal function fields F are Galois subfields of the Hermitian function field H over F-q(2n) (i.e., the extension H/F is Galois).
A generic identification theorem for L*-groups of finite Morley rank Berkman, Ayse; Borovik, Alexandre V.; Burdges, Jeffrey; Cherfin, Gregory (Elsevier BV, 2008-01-01) This paper provides a method for identifying "sufficiently rich" simple groups of finite Morley rank with simple algebraic groups over algebraically closed fields. Special attention is given to the even type case, and the paper contains a number of structural results about simple groups of finite Morley rank and even type.
On maximal curves and linearized permutation polynomials over finite fields Özbudak, Ferruh (Elsevier BV, 2001-08-08) The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
Memorandum on multiplicative bijections and order Cabello Sanchez, Felix; Cabello Sanchez, Javier; ERCAN, ZAFER; Önal, Süleyman (Springer Science and Business Media LLC, 2009-08-01) Let C(X, I) denote the semigroup of continuous functions from the topological space X to I = [0, 1], equipped with the pointwise multiplication. The paper studies semigroup homomorphisms C(Y, I) -> C(X, I), with emphasis on isomorphisms. The crucial observation is that, in this setting, homomorphisms preserve order, so isomorphisms preserve order in both directions and they are automatically lattice isomorphisms. Applications to uniformly continuous and Lipschitz functions on metric spaces are given. Sample...

Citation Formats

A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators,” SBORNIK MATHEMATICS, pp. 355–375, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63620.