A+ CATEGORY SCIENTIFIC UNIT

Fréchet quotients of spaces of real-analytic functions

Volume 159 / 2003

P. Domański, L. Frerick, D. Vogt Studia Mathematica 159 (2003), 229-245 MSC: Primary 46E10; Secondary 46A04, 46A45, 46A63. DOI: 10.4064/sm159-2-5

Abstract

We characterize all Fréchet quotients of the space ${\scr A} ({\mit \Omega })$ of (complex-valued) real-analytic functions on an arbitrary open set ${\mit \Omega }\subseteq \mathbb R^d$. We also characterize those Fréchet spaces $E$ such that every short exact sequence of the form $0\to E \to X \to {\scr A} ({\mit \Omega }) \to 0$ splits.

Authors

  • P. DomańskiFaculty of Mathematics
    and Computer Science
    A. Mickiewicz University Poznań
    and
    Institute of Mathematics
    Polish Academy of Sciences
    (Poznań branch)
    Umultowska 87
    61-614 Poznań, Poland
    e-mail
  • L. FrerickFB Mathematik
    Bergische Universität Wuppertal
    Gaußstr. 20
    D-42097 Wuppertal, Germany
    e-mail
  • D. VogtFB Mathematik
    Bergische Universität Wuppertal
    Gaußstr. 20
    D-42097 Wuppertal, Germany
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image