Results 21 to 30 of about 23,112 (257)

Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK)

Journal of Function Spaces, 2020
A new geometry property and two new moduli are introduced in Banach space. First, the concept of local uniform Kadec-Klee property (LUKK) is introduced and the implication relationships between LUKK and local near uniform convexity LNUC, uniformly Kadec ...
Yunan Cui, Xiaoxia Wang
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K-frames for Banach Spaces

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
doaj   +1 more source

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
doaj  

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
Fitzpatrick, Simon, Reznick, Bruce
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Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators [PDF]

, 1994
1. Let be a Banach algebra. We say that homomorphisms from are continuous if every homomorphism from into a Banach algebra is automatically continuous, and that derivations from are continuous if every derivation from into a Banach -bimodule is ...
Dales, H.G., Jarchow, H., Dales, H G, Jarchow, H   +3 more
core   +1 more source

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
doaj   +1 more source

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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Moreau’s decomposition in Banach spaces [PDF]

Mathematical Programming, 2013
Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Patrick L. Combettes, Noli N. Reyes
openaire   +4 more sources

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
doaj   +1 more source

Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

Fixed Point Theory and Applications, 2017
A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George, R Rajagopalan, Hossam A Nabwey, Stojan Radenović   +3 more
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