Results 21 to 30 of about 17,687 (188)
Kannan Prequasi Contraction Maps on Nakano Sequence Spaces
Journal of Function Spaces, 2020 In this article, we explore the concept of the prequasi norm on Nakano special space of sequences (sss) such that its variable exponent in 0,1. We evaluate the sufficient setting on it with the definite prequasi norm to configuration prequasi Banach and ...
Awad A. Bakery +1 more
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Kannan Nonexpansive Operators on Variable Exponent Cesàro Sequence Space of Fuzzy Functions
Journal of Function Spaces, 2022 In general, we have constructed the operator ideal generated by extended s-fuzzy numbers and a certain space of sequences of fuzzy numbers. An investigation into the conditions sufficient for variable exponent Cesàro sequence space of fuzzy functions ...
Awad A. Bakery, Mustafa M. Mohammed
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Operator Ideals arising from Generating Sequences [PDF]
, 2011 In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be ...
Wong, Ngai-Ching
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Journal of Function Spaces, 2022 This paper establishes the reality of a fixed point of Kannan’s prequasinorm contraction mapping on the variable exponent function space of complex variables, demonstrating that it satisfies the property (R) and possesses a prequasinormal structure.
Elsayed A. E. Mohamed, Awad A. Bakery
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The Kp,q-Compactness and Kp,q-Null Sequences, and the
Mathematics, 2022 Let Kp,q (1≤p,q≤∞ with 1/p+1/q≥1) be the ideal of (p,q)-compact operators. This paper investigates the compactness and null sequences via Kp,q, and an approximation property of the ideal of Kp,q-compact operators.
Ju Myung Kim
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Banach ideals of operators with applications
Journal of Functional Analysis, 1973 Abstract We present some results concerning the general theory of Banach ideals of operators and give several applications to Banach space theory. We give, in Section 3, new proofs of several recent results, as well as new operator characterizations of the L p -spaces of Lindenstrauss and Pelczynski.
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803 USA ( host institution ) +3 more
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One functional operator inversion formula
Mathematical Modelling and Analysis, 2001 Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
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Ideal properties of regular operators between Banach lattices
Illinois Journal of Mathematics, 1985 The main result of the paper is a positive answer to the question of \textit{C. D. Aliprantis} and \textit{O. Burkinshaw} [Trans. Am. Math. Soc. 274, 227-238 (1982; Zbl 0498.47013)]: Theorem 4.4. Let E and F be Banach lattices so that F has order continuous norm. Suppose \(T: E\to F\) is a positive Dunford-Pettis operator and \(0\leq S\leq T\).
Kalton, N. J., Saab, Paulette
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Property (h) of Banach Lattice and Order-to-Norm Continuous Operators
Mathematics, 2023 In this paper, we introduce the property (h) on Banach lattices and present its characterization in terms of disjoint sequences. Then, an example is given to show that an order-to-norm continuous operator may not be σ-order continuous.
Fu Zhang, Hanhan Shen, Zili Chen
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Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals [PDF]
, 2015 Denote by $[0,\omega_1)$ the set of countable ordinals, equipped with the order topology, let $L_0$ be the disjoint union of the compact ordinal intervals $[0,\alpha]$ for $\alpha$ countable, and consider the Banach spaces $C_0[0,\omega_1)$ and $C_0(L_0)$
Kania, Tomasz, Laustsen, Niels
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