On the Hahn-Banach type theorem and the Jordan decomposition of module linear mapping over some operator algebras
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چکیده
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on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولA Theorem of the Hahn-banach Type for Linear Transformations
Every continuous linear functional defined on a vector subspace of a real normed space can be extended to the whole space so as to remain linear and continuous, and with the same norm(2). The extension of continuous linear transformations between two real normed spaces has been studied by several authors and for a long time it has been recognized that this problem has a close connection with th...
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We give the basic de nitions for pointfree functional analysis and present constructive proofs of the Alaoglu and Hahn Banach theorems in the set ting of formal topology Introduction We present the basic concepts and de nitions needed in a pointfree approach to functional analysis via formal topology Our main results are the constructive proofs of localic formulations of the Alaoglu and Helly H...
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In this paper we study the module contractibility ofBanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. Also weinvestigate module contractibility of Banach algebras with theconcept of the module diagonal.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1960
ISSN: 0386-5991
DOI: 10.2996/kmj/1138844235