# Algebras of Toeplitz operators with oscillating symbols.

Albrecht Böttcher; Sergei M. Grudsky; Enrique Ramírez de Arellano

Revista Matemática Iberoamericana (2004)

- Volume: 20, Issue: 3, page 647-671
- ISSN: 0213-2230

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topBöttcher, 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 -

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