A characterization of subspaces of
J. Holub (1972)
Studia Mathematica
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Displaying similar documents to “Fully absolutely summing and Hilbert-Schmidt multilinear mappings.”
A characterization of subspaces of
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We prove that a normalized non-weakly null basic sequence in the James tree space JT admits a subsequence which is equivalent to the summing basis for the James space J. Consequently, every normalized basic sequence admits a spreading subsequence which is either equivalent to the unit vector basis of or to the summing basis for J.
A rigid space admitting compact operators
Paul Sisson (1995)
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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...