The Experts below are selected from a list of 28416 Experts worldwide ranked by ideXlab platform
Yongjie Piao - One of the best experts on this subject based on the ideXlab platform.
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Common Fixed Points for a Countable Family of Set-Valued Mappings with Quasi-Contractive Conditions on Metrically Convex Spaces
Advances in Pure Mathematics, 2014Co-Authors: Yuexi Jin, Ailian Jin, Yongjie PiaoAbstract:In this paper, we consider a countable family of set-valued mappings satisfying some quasi-contractive conditions. We also construct a sequence by the quasi-contractive conditions of mappings and the boundary condition of a Closed Subset of a metrically convex space, and then prove that the unique limit of the sequence is the unique common fixed point of the mappings. Finally, we give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results generalize and improve many common fixed point theorems for a finite or countable family of single valued or set-valued mappings with quasi-contractive conditions.
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common fixed points for a countable family of non self multi valued mappings on metrically convex spaces
Journal of the Chungcheong Mathematical Society, 2012Co-Authors: Yongjie PiaoAbstract:In this paper, we will consider some existence theorems of common fixed points for a countable family of non-self multi-valued mappings defined on a Closed Subset of a complete metrically convex space, and give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results in this paper generalize and improve many common fixed point theorems for single valued or multi-valued mappings with contractive type conditions.
Daniel V Tausk - One of the best experts on this subject based on the ideXlab platform.
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extension property and complementation of isometric copies of continuous functions spaces
Results in Mathematics, 2015Co-Authors: Claudia Correa, Daniel V TauskAbstract:We prove that every isometric copy of C(L) in C(K) is complemented if L is a compact Hausdorff space of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every Closed Subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L|F) consisting of functions that vanish on a Closed Subset F of L. We also study the class of spaces having the extension property, establishing some stability results for this class and relating it to other classes of compact spaces.
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extension property and complementation of isometric copies of continuous functions spaces
arXiv: Functional Analysis, 2013Co-Authors: Claudia Correa, Daniel V TauskAbstract:In this article we prove that every isometric copy of C(L) in C(K) is complemented if L is compact Hausdorff of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every Closed Subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L|F) consisting of functions that vanish on a Closed Subset F of L. We also study the class of spaces having the extension property, establishing some closure results for this class and relating it to other classes of compact spaces.
H G Dales - One of the best experts on this subject based on the ideXlab platform.
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the wedderburn decomposability of some commutative banach algebras
Journal of Functional Analysis, 1992Co-Authors: William G Bade, H G DalesAbstract:Abstract In this paper we study the question whether certain non-semisimple, commutative Banach algebras have a Wedderburn decomposition U = B ⊕ rad U , where B is a subalgebra of U . Let A(G) be the Fourier algebra of a locally compact abelian group G, and let E be a Closed Subset of G. Let J(E) be the smallest Closed ideal in A(G) whose hull is E. We prove that, when E is a set of non-synthesis, the quotient algebra A(G) J(E) never has a Wedderburn decomposition even in the purely algebraic sense. This result is extended to cover certain Beurling algebras Ax(Rk) and Ax(Tk).
Eberhard Kaniuth - One of the best experts on this subject based on the ideXlab platform.
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weak spectral synthesis in commutative banach algebras iii
Journal of Functional Analysis, 2008Co-Authors: Eberhard KaniuthAbstract:Abstract Let A be a regular and semisimple commutative Banach algebra with structure space Δ ( A ) . Continuing the investigations of [7] and [9] , we establish various results on weak spectral sets in Δ ( A ) . To each Closed Subset of Δ ( A ) we associate a descending sequence of Subsets of Δ ( A ) which proves to be a powerful tool in the study of weak spectral synthesis. Applications concern injection type properties, unions of weak spectral sets and projective tensor products. A number of interesting examples is discussed: algebras of m-times continuously differentiable functions and of Lipschitz functions, and L 1 ( R N ) .
Claudia Correa - One of the best experts on this subject based on the ideXlab platform.
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extension property and complementation of isometric copies of continuous functions spaces
Results in Mathematics, 2015Co-Authors: Claudia Correa, Daniel V TauskAbstract:We prove that every isometric copy of C(L) in C(K) is complemented if L is a compact Hausdorff space of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every Closed Subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L|F) consisting of functions that vanish on a Closed Subset F of L. We also study the class of spaces having the extension property, establishing some stability results for this class and relating it to other classes of compact spaces.
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extension property and complementation of isometric copies of continuous functions spaces
arXiv: Functional Analysis, 2013Co-Authors: Claudia Correa, Daniel V TauskAbstract:In this article we prove that every isometric copy of C(L) in C(K) is complemented if L is compact Hausdorff of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every Closed Subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L|F) consisting of functions that vanish on a Closed Subset F of L. We also study the class of spaces having the extension property, establishing some closure results for this class and relating it to other classes of compact spaces.
