Trace characterizations and socle identifications in Banach algebras
نویسندگان
چکیده
منابع مشابه
The Socle and finite dimensionality of some Banach algebras
The purpose of this note is to describe some algebraic conditions on a Banach algebra which force it to be finite dimensional. One of the main results in Theorem 2 which states that for a locally compact group G, G is compact if there exists a measure μ in Soc(L1(G)) such that μ(G) 6= 0. We also prove that G is finite if Soc(M(G)) is closed and every nonzero left ideal in M(G) contains a minima...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2015
ISSN: 0024-3795
DOI: 10.1016/j.laa.2014.12.028