Every separable L1-predual is complemented in a C*-algebra
نویسندگان
چکیده
منابع مشابه
A Characterization of Completely 1-complemented Subspaces of Noncommutative L1-spaces
A ternary ring of operators is an “off-diagonal corner” of a C∗-algebra and the predual of a ternary ring of operators (if it exists) is of the form pR∗q for some von Neumann algebra R and projections p and q in R. In this paper, we prove that a subspace of the predual of a ternary ring of operators is completely 1-complemented if and only if it is completely isometrically isomorphic to the pre...
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Abstract. It is shown that for an L1-predual space X and a countable linearly independent subset of ext(BX∗) whose norm-closed linear span Y in X∗ is w∗-closed, there exists a w∗-continuous contractive projection from X∗ onto Y . This result combined with those of Pelczynski and Bourgain yields a simple proof of the Lazar-Lindenstrauss theorem that every separable L1-predual with non-separable ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2004
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm160-2-1