Dentability and finite-dimensional decompositions
نویسندگان
چکیده
منابع مشابه
Two-dimensional behavior decompositions with finite-dimensional intersection
In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given complete two-dimensional behavior, are fully investigated and related to the factor skew-primeness property of suitable matrix pairs, involved in the behavior description. The analysis carried on here leads to an extension of the results about direct sum decompositions presented ...
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The famous primary and cyclic decomposition theorems along with the tightly related rational and Jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.
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A Banach space X has the complete continuity property (CCP) if each bounded linear operator from L1 into X is completely continuous (i.e., maps weakly convergent sequences to norm convergent sequences). The main theorem shows that a Banach space failing the CCP has a subspace with a nite dimensional decomposition which fails the CCP. If furthermore the space has some nice local structure (such ...
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Let X he a Banach space with an unconditional finite-dimensional Schauder decomposition (En). We consider the general problem of characterizing conditions under which one can construct an unconditional basis for X by forming an unconditional basis for each En. For example, we show that if sup,, dim En < c~ and X has Gordon-Lewis local unconditional s t ructure then X has an unconditional basis ...
متن کاملinfinite-dimensional versions of the primary, cyclic and jordan decompositions
the famous primary and cyclic decomposition theorems along with the tightly related rational and jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1980
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-67-2-135-148