On a decomposition of singular linear transforms
نویسندگان
چکیده
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on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولOptimal Approximation of Linear Operators: a Singular Value Decomposition Approach
The purpose of this paper is to propose a definition of a set of singular values and a singular value decomposition associated with a linear operator defined on arbitrary normed linear spaces. This generalizes the usual notion of singular values and singular value decompositions to operators defined on spaces equipped with the p-norm, where p is arbitrary. Basic properties of these generalized ...
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In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...
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Linear equivalences of norms of vector-valued singular integral operators and vector-valued martingale transforms are studied. In particular, it is shown that the UMD-constant of a Banach space X equals the norm of the real (or the imaginary) part of the BeurlingAhlfors singular integral operator, acting on LpX(R ) with p ∈ (1,∞). Moreover, replacing equality by a linear equivalence, this is fo...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1960
ISSN: 0528-2195
DOI: 10.21136/cpm.1960.117346