Results 21 to 30 of about 3,442,984 (210)
Orthogonal bases in a topological algebra are Schauder bases
In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
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Some Generalized Versions of Chevet–Saphar Tensor Norms
The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear ...
Ju Myung Kim
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Embedding subspaces of 𝑙ⁿ_{∞} into spaces with Schauder basis [PDF]
It is proved that for sufficiently small ε > 0
Piotr Mankiewicz +1 more
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A New Paranormed Sequence Space Defined by Regular Bell Matrix
This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
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L p -maximal regularity on Banach spaces with a Schauder basis [PDF]
14 ...
Kalton, N. J., Lancien, G.
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Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
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Restricting a Schauder Basis to a Set of Positive Measure [PDF]
Let { f n
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Note on bases in algebras of analytic functions on Banach spaces
Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
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Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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