Results 1 to 10 of about 68,838 (163)
On Character Space of the Algebra of BSE-functions [PDF]
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character
Mohammad Fozouni
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Simple inertial methods for solving split variational inclusions in Banach Spaces [PDF]
In this paper, we introduce two simple inertial algorithms for solving the split variational inclusion problem in Banach spaces. Under mild and standard assumptions, we establish the weak and strong convergence of the proposed methods, respectively. As theoretical realization we study existence of solutions of the split common fixed point problem in ...
Yan Tang, Aviv Gibali, Yeol Je Cho
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Simplification method for nonlinear equations of monotone type in Banach space
In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces
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Chinedu Izuchukwu +2 more
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A note on Nakano generalized difference sequence space
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
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A simple, combinatorial proof of Gowers Dichotomy for Banach Spaces
In this paper we present a simple proof of Gowers Dichotomy which states that every infinite dimensional Banach Space has a subspace which either contains an unconditional basic sequence or is hereditarily indecomposable. Our approach is purely combinatorial and mainly based on work of Ellentuck, Galvin and Prikry in infinite Ramsey theory.
Frankiewicz, Ryszard +1 more
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Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
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In this paper, we introduce an algorithm for solving variational inequalities problem with Lipschitz continuous and pseudomonotone mapping in Banach space.
Fei Ma , Jun Yang, Min Yin
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
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Some High-Order Convergent Iterative Procedures for Nonlinear Systems with Local Convergence
In this study, we suggested the local convergence of three iterative schemes that works for systems of nonlinear equations. In earlier results, such as from Amiri et al. (see also the works by Behl et al., Argryos et al., Chicharro et al., Cordero et al.,
Ramandeep Behl +2 more
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