Results 31 to 40 of about 155,050 (273)
Journal of Function Spaces, 2022 In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
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An ordering for the Banach spaces [PDF]
Pacific Journal of Mathematics, 1983 An ''ordering'' on the class of all Banach spaces is defined as follows: If X and Y are Banach spaces, then we say \(X\prec Y\) if \(X=\cap T^{**- 1}[Y],\) where the intersection is over all bounded linear operators T:\(X\to Y\). This holds if there is a Tauberian operator from X to Y, but also in other cases. Certain special cases are characterized: \(
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Some properties of b-weakly compact operators on Banach lattices
پژوهشهای ریاضی, 2021 In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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A bicommutant theorem for dual Banach algebras [PDF]
, 2010 A dual Banach algebra is a Banach algebra which is a dual space, with the multiplication being separately weak$^*$-continuous. We show that given a unital dual Banach algebra $\mc A$, we can find a reflexive Banach space $E$, and an isometric, weak ...
Daws, Matthew
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Skewness in Banach spaces [PDF]
Transactions of the American Mathematical Society, 1983 Let E E be a Banach space. One often wants to measure how far E E is from being a Hilbert space. In this paper we define the skewness s ( E ) s(E) of a Banach space E E , 0 ⩽ s ( E ) ⩽ 2
Fitzpatrick, Simon, Reznick, Bruce
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Nontrivial isometries on sp(α)
International Journal of Mathematics and Mathematical Sciences, 1982 sp(α) is a Banach space of sequences x with ‖x‖=(∑i=0∞|xi|p+α∑i=0∞|xi+1−xi|p)1/p.
Stephen L. Campbell
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Very smooth points of spaces of operators [PDF]
, 2003 In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an $M$-ideal in the space of bounded operators, a very smooth operator $T$ attains its norm at a ...
Rao, T. S. S. R. K.
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Geometric Properties of Generalized Von Neumann Constant
Journal of Harbin University of Science and Technology, 2023 Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced.
ZHAO Liang, ZHAO Pingan
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Some Banach spaces added by a Cohen real [PDF]
, 2014 We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell +11 more
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Extremal properties of the set of vector-valued Banach limits
Open Mathematics, 2015 In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X).
García-Pacheco Francisco Javier
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