A+ CATEGORY SCIENTIFIC UNIT

On $A$-convex and $lm$-convex algebra structures of a locally convex space

Volume 67 / 2005

Yannis Tsertos Banach Center Publications 67 (2005), 391-396 MSC: Primary 46H05. DOI: 10.4064/bc67-0-32

Abstract

Given a locally convex space $(V,{\mit\Gamma} )$, we find (all) the multiplications $\pi$ on $V$ (associative or not) such that the algebra $A\equiv (V,\pi, {\mit\Gamma})$ becomes (i) $A$-convex, (ii) $lm$-convex.

Authors

  • Yannis TsertosDepartment of Mathematics
    University of Athens
    Panepistimiopolis
    Athens 15784
    Greece
    e-mail

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