Algebras of Toeplitz operators with oscillating symbols.

Böttcher, Albrecht, Grudsky, Sergei M., and Ramírez de Arellano, Enrique. "Algebras of Toeplitz operators with oscillating symbols.." Revista Matemática Iberoamericana 20.3 (2004): 647-671. <http://eudml.org/doc/39726>.

@article{Böttcher2004,
abstract = {This paper is devoted to Banach algebras generated by Toeplitz operators with strongly oscillating symbols, that is, with symbols of the form b[eia(x)] where b belongs to some algebra of functions on the unit circle and a is a fixed orientation-preserving homeomorphism of the real line onto itself. We prove the existence of certain interesting homomorphisms and establish conditions for the normal solvability, Fredholmness, and invertibility of operators in these algebras.},
author = {Böttcher, Albrecht, Grudsky, Sergei M., Ramírez de Arellano, Enrique},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores lineales; Operadores de Toeplitz; Algebra de Banach; Algebra de operadores; C*-álgebras; Operadores de Fredholm; Toeplitz operators; Fredholmness; normal solvability; invertibility},
language = {eng},
number = {3},
pages = {647-671},
title = {Algebras of Toeplitz operators with oscillating symbols.},
url = {http://eudml.org/doc/39726},
volume = {20},
year = {2004},
}

TY - JOUR
AU - Böttcher, Albrecht
AU - Grudsky, Sergei M.
AU - Ramírez de Arellano, Enrique
TI - Algebras of Toeplitz operators with oscillating symbols.
JO - Revista Matemática Iberoamericana
PY - 2004
VL - 20
IS - 3
SP - 647
EP - 671
AB - This paper is devoted to Banach algebras generated by Toeplitz operators with strongly oscillating symbols, that is, with symbols of the form b[eia(x)] where b belongs to some algebra of functions on the unit circle and a is a fixed orientation-preserving homeomorphism of the real line onto itself. We prove the existence of certain interesting homomorphisms and establish conditions for the normal solvability, Fredholmness, and invertibility of operators in these algebras.
LA - eng
KW - Operadores lineales; Operadores de Toeplitz; Algebra de Banach; Algebra de operadores; C*-álgebras; Operadores de Fredholm; Toeplitz operators; Fredholmness; normal solvability; invertibility
UR - http://eudml.org/doc/39726
ER -