Weak compactness criteria and convergences in L (μ).
H. Benabdellah, C. Castaing (1997)
Collectanea Mathematica
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H. Benabdellah, C. Castaing (1997)
Collectanea Mathematica
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E. Odell (1980)
Compositio Mathematica
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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V. Kadets, Yu. Korobeĭnik (1992)
Studia Mathematica
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We introduce various classes of representing systems in linear topological spaces and investigate their connections in spaces with different topological properties. Let us cite a typical result of the paper. If H is a weakly separated sequentially separable linear topological space then there is a representing system in H which is not absolutely representing.
James Halger (1977)
Studia Mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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James Roberts (1977)
Studia Mathematica
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B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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Paul Sisson (1995)
Studia Mathematica
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A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...