Results 31 to 40 of about 421,577 (266)
Nontrivial isometries on sp(α)
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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On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
wiley +1 more source
Some properties of b-weakly compact operators on Banach lattices
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
doaj
The heart of the Banach spaces [PDF]
Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beilinson, Bernstein and Deligne consider in this setting a t-structure on the derived category and remark that its heart can be described as a category of formal quotients ...
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In recent publications the concepts of fast completeness and local barreledness have been shown to be related to the property of all weak‐* bounded subsets of the dual (of a locally convex space) being strongly bounded. In this paper we clarify those relationships, as well as giving several different characterizations of this property.
Jing Hui Qiu, Kelly McKennon
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Generalized p-fusion frame in separable Banach space [PDF]
Concepts of g-fusion frame and gf-Riesz basis in a Hilbert to a Banach space is being presented. Some properties of g-fusion frame and gf-Riesz basis in Banach space have been developed. We discuss perturbation results of g-fusion frame in a Banach space.
arxiv
Operations in Banach Spaces [PDF]
The starting point for this investigation was an attempt to generalize the well known theorem of Silverman and Toeplitz [25](1) on regularity of a sequence-to-sequence transformation. This theorem may be stated as follows: If a transformation of sequences { t, } of real numbers to sequences { Sm } is defined from a matrix { amn }, m, n = 1, 2, * , by ...
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Subprojective Banach spaces [PDF]
A Banach space $X$ is called subprojective if any of its infinite dimensional subspaces $Y$ contains a further infinite dimensional subspace complemented in $X$. This paper is devoted to systematic study of subprojectivity. We examine the stability of subprojectivity of Banach spaces under various operations, such us direct or twisted sums, tensor ...
Eugeniu Spinu, Timur Oikhberg
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Multismoothness in Banach Spaces [PDF]
In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion ofk-smooth points and the notion ofk-smoothness, which are dual to the notion ofk-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector ...
T. S. S. R. K. Rao, Bor-Luh Lin
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Extremal properties of the set of vector-valued Banach limits
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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