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Weighted Algebras of Vector‐Valued Continuous Functions
Author(s) -
Oubbi L.
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200004)212:1<117::aid-mana117>3.0.co;2-c
Subject(s) - mathematics , counterexample , regular polygon , algebra over a field , pure mathematics , discrete mathematics , geometry
In this paper we present a systematic study of the algebras CV ( X , E ) and CV 0 ( X , E ) of continuous functions with weight conditions given by a Nachbin family V and with values in a locally convex algebra E. Some relevant examples (and counterexamples to some assertions in the literature) are provided.