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Publicaciones

Spaceability of Subsets of the Disc Algebra

Authors

GERLACH MENA, PABLO JOSÉ, Mueller, J.

External publication

No

Means

Comput. Methods Funct. Theory

Scope

Article

Nature

Científica

JCR Quartile

✓

SJR Quartile

✗

JCR Impact

2.1

SJR Impact

0.535

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124101472&doi=10.1007%2fs40315-021-00433-1&partnerID=40&md5=badde48b788ebbbe29f6f1efb28b9c55

Publication date

02/02/2022

ISI

000749921300001

Scopus Id

2-s2.0-85124101472

DOI

10.1007/s40315-021-00433-1

Abstract

In this paper we analyse the topological and linear structure of different subsets of the disc algebra. Among others, we consider the set of functions in the disc algebra having a Taylor series about 0 which is unboundedly divergent on a given subset of the unit circle of vanishing arc length measure, and the subsets of functions having uniformly bounded or uniformly convergent Taylor series on the unit circle.

Keywords

Disc algebra; Lineability; spaceability; Algebrability; Unboundedly divergence