Results 1 to 10 of about 21,443,556 (92)
Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces [PDF]
Vojnotehnički Glasnik, 2020 Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C*-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some ...
Esad Jakupović +4 more
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Quasi-Complemented BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter.
Kumar V. Venkata +2 more
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C∗-algebra-valued metric spaces and related fixed point theorems
Fixed Point Theory and Applications, 2014 Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces.
Zhenhua Ma, Lining Jiang, Hongkai Sun
semanticscholar +2 more sources
Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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The C∗-algebra of a minimal homeomorphism of zero mean dimension [PDF]
, 2014 Let $X$ be an infinite compact metrizable space, and let $\sigma: X\to X$ be a minimal homeomorphism. Suppose that $(X, \sigma)$ has zero mean topological dimension.
G. Elliott, Z. Niu
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C*-algebra valued quasi metric spaces and fixed point results with an application
Applied General Topology, 2022 In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one
Mohammad Asim +3 more
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Every classifiable simple C*-algebra has a Cartan subalgebra
Inventiones Mathematicae, 2018 We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.
Xin Li
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On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup [PDF]
, 2012 We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced
J. Cuntz, S. Echterhoff, Xin Li
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The descriptive set theory of C$^*$-algebra invariants [PDF]
, 2011 We establish the Borel computability of various C$^*$-algebra invariants, including the Elliott invariant and the Cuntz semigroup. As applications we deduce that AF algebras are classifiable by countable structures, and that a conjecture of Winter and ...
I. Farah +2 more
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Journal of Algebraic SystemsThe notions of (transitive, commutative, antisymmetric) bordered GE-algebras are introduced,and their properties are investigated. Relations between a commutative bordered GE-algebra and anantisymmetric bordered GE-algebra are considered, and also ...
Ravikumar Bandaru +2 more
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