English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In a previous paper (Radial operators on polyanalytic weighted Bergmanspaces, Bol. Soc. Mat. Mex. 27, 43), using disk polynomials as an orthonormalbasis in the $n$-analytic weighted Bergman space, we showed that for everybounded radial generating symbol $a$, the associated Toeplitz operator, actingin this space, can be identified with a matrix sequence $\gamma(a)$, where theentries of the matrices are certain integrals involving $a$ and Jacobipolynomials. In this paper, we suppose that the generating symbols $a$ havefinite limits on the boundary and prove that the C*-algebra generated by thecorresponding matrix sequences $\gamma(a)$ is the C*-algebra of all matrixsequences having scalar limits at infinity. We use Kaplansky's noncommutativeanalog of the Stone--Weierstrass theorem and some ideas from several papers byLoaiza, Lozano, Ram\'{i}rez-Ortega, Ram\'{i}rez-Mora, and S\'{a}nchez-Nungaray.We also prove that for $n\ge 2$, the closure of the set of matrix sequences$\gamma(a)$ is not equal to the generated C*-algebra.

C*-algebras generated by radial Toeplitz operators on polyanalytic weighted Bergman spaces