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Study on generalized BK-5th recurrent Finsler space

Computational Mathematics and its Applications, 2023
In this paper, we present a novel new class and investigate the connection between the K-projective curvature tensor and other tensors of Finsler space Fn, this space is characterized by the property for Cartan’s 4th curvature tensor satisfies the certain relationship with the given covariant vectors field, we define this space as a generalized BK-5th
Al-Qashbari Adel Mohammed Ali   +1 more
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Vector-Valued Integration in $BK$-Spaces

Zeitschrift für Analysis und ihre Anwendungen, 1996
Questions of convergence in B K-spaces, i.e. Banach spaces of complex-valued sequences x = (x_k)_{k \in \mathbb Z} with continuity of all functionals
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Reflexivity of the shift operator on some BK spaces

Rendiconti del Circolo Matematico di Palermo (1952 -), 2013
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Bagheri, L., Yousefi, B.
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A Class of Reflexive Symmetric Bk-Spaces

Canadian Journal of Mathematics, 1969
We denote by ω the linear space of all sequences of real or complex numbers. A linear subspace of ω is called a sequence space. A sequence space E is a BK-space (9) if it is equipped with a norm under which: first, E is a Banach space and second, each of the coordinate maps x → xi is continuous. Let ∑ be the group of all permutations of Z+ = {1, 2, 3, …
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A new BK-space defined by regular matrix of Lucas numbers

Journal of Interdisciplinary Mathematics, 2019
AbstractThe purpose of this paper is to introduce the Lucas sequence space which is a BK-space with the help of a regular matrix of Lucas numbers for 0 < p < ∞.
Ayse Metin Karakas, Murat Karakas
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New properties of BK-spaces defined by using regular matrix of Fibonacci numbers

AIP Conference Proceedings, 2016
In the present paper, we studied the new properties of BK-spaces which were defined using regular matrix of Fibonacci numbers in [1]. We computed alpha-, beta-, gamma- duals of these spaces and obtained Schauder basis. We also derived some topological properties of these spaces.
Sinan Ercan, Çiğdem A. Bektaş
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Sum and product of certain BK spaces and matrix transformations between these spaces

Acta Mathematica Hungarica, 2004
The article studies weighted Banach sequence spaces of the type \(s_\alpha = \{(x_n)_{n \in \mathbb N} \in \mathbb C^{\mathbb N}: x_n/\alpha_n \in \ell_\infty\}\) for a weight sequence \(\alpha \in (0,\infty)^{\mathbb N}\), sums and products \(s_\alpha \ast s_\beta =\{ (x_n y_n)_{n \in \mathbb N}: x\in s_\alpha, y\in s_\beta\}\), as well as matrix ...
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A note on exact traveling solitary wave solutions of integrable Broer–Kaup (BK) equations in (2+1)-dimensional spaces

Chaos, Solitons & Fractals, 2005
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Zhao, Xiqiang   +2 more
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Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers

Linear and Multilinear Algebra, 2016
In the present paper, we introduce the sequence space using a new regular matrix of Fibonacci numbers, where . We investigate its topological properties such as Schauder basis, and duals and its geometric properties like uniformly convex, strictly convex and super-reflexive.
Sinan Ercan, Çiğdem A. Bektaş
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Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces

Journal of Physics A: Mathematical and General, 2001
Summary: New families of soliton-like solutions are obtained for \((2+1)\)-dimensional integrable Broer-Kaup equations by using the symbolic computation method developed by Gao and Tian. Sample solutions obtained from these methods are presented. Solitary wave solutions are merely a special case in one family.
Yan, Zhen-ya, Zhang, Hong-qing
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