A+ CATEGORY SCIENTIFIC UNIT

Lineability and algebrability of the set of holomorphic functions with a given domain of existence

Volume 220 / 2014

Thiago R. Alves Studia Mathematica 220 (2014), 157-167 MSC: Primary 46G20, 46J10; Secondary 15A03. DOI: 10.4064/sm220-2-4

Abstract

We show that if $U$ is a domain of existence in a separable Banach space, then the set of holomorphic functions on $U$ whose domain of existence is $U$ is lineable and algebrable.

Authors

  • Thiago R. AlvesIMECC - UNICAMP
    Rua Sérgio Buarque de Holanda, 651
    13083-859 Campinas, SP, Brazil
    e-mail

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