Algebras of Toeplitz operators with oscillating symbols
Böttcher, Albrecht ; Grudsky, Sergei M. ; Ramírez de Arellano, Enrique
Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, p. 647-671 / Harvested from Project Euclid
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This paper is devoted to Banach algebras generated by Toeplitz operators with strongly oscillating symbols, that is, with symbols of the form $b(e^{i\alpha(x)})$ where $b$ belongs to some algebra of functions on the unit circle and $\alpha$ 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.
Publié le : 2004-10-14
Classification:  Toeplitz operator,  Banach algebra,  $C^*$-algebra,  Fredholm operator,  normally solvable operator,  47B35,  30E20,  37C05,  42A50,  46H20,  47A53,  47L15 
@article{1098885432,
     author = {B\"ottcher, Albrecht and Grudsky, Sergei M. and Ram\'\i rez de Arellano, Enrique},
     title = {Algebras of Toeplitz operators with oscillating symbols},
     journal = {Rev. Mat. Iberoamericana},
     volume = {20},
     number = {1},
     year = {2004},
     pages = { 647-671},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1098885432}
}

Böttcher, Albrecht; Grudsky, Sergei M.; Ramírez de Arellano, Enrique. Algebras of Toeplitz operators with oscillating symbols. Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, pp.  647-671. http://gdmltest.u-ga.fr/item/1098885432/