Results 1 to 10 of about 2,099 (127)
Disjointness preserving linear operators between Banach algebras of vector-valued functions [PDF]
Banach Journal of Mathematical Analysis, 2014 The authors consider Banach algebras of vector valued functions, meaning functions with values in Banach algebras, contained in \(C(X,E)\) where \(X\) is a compact Hausdorff space and \(E\) is a Banach algebra. In particular, they deal with \(\mathrm{Lip}^\alpha(X,E)\) for a commutative unital Banach algebra \(E\) and a compact metric space \(X\). They
Amir H Sanatpour
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Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras [PDF]
Bulletin of the American Mathematical Society, 2003 Vladimir Müller
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Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]
Adv Differ Equ, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
González-Camus J, Lizama C, Miana PJ.
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Linear Hahn-Banach type extension operators in Banach algebras of operators [PDF]
Proceedings of the Royal Irish Academy, 2019 The notion of linear Hahn-Banach extension operator was first studied in detail by Heinrich and Mankiewicz (1982). Previously, J. Lindenstrauss (1966) studied similar versions of this notion in the context of non separable reflexive Banach spaces. Subsequently, Sims and Yost (1989) proved the existence of linear Hahn-Banach extension operators via ...
Basu, Sudeshna, Singh, Ajit Iqbal
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Linear Hahn-Banach type extension operators in Banach algebras of operators [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2017 The notion of linear Hahn-Banach extension operator was first studied in detail by Heinrich and Mankiewicz (1982). Previously, J. Lindenstrauss (1966) studied similar versions of this notion in the context of non separable reflexive Banach spaces ...
S. Basu, A. Singh
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A Certain Class of Character Module Homomorphisms on Normed Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2018 For two normed algebras $A$ and $B$ with the character space $bigtriangleup(B)neq emptyset$ and a left $B-$module $X,$ a certain class of bounded linear maps from $A$ into $X$ is introduced.
Ali Reza Khoddami
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Surjective Homomorphisms from Algebras of Operators on Long Sequence Spaces are Automatically Injective [PDF]
Quarterly Journal of Mathematics, 2020 We study automatic injectivity of surjective algebra homomorphisms from $\mathscr{B}(X)$, the algebra of (bounded, linear) operators on X, to $\mathscr{B}(Y)$, where X is one of the following long sequence spaces: c0(λ), $\ell_{\infty}^c(\lambda)$, and
Bence Horv'ath, Tomasz Kania
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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces
Annales Mathematicae Silesianae, 2020 In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces.
Dragomir Silvestru Sever
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Fredholm theory in quaternionic Banach algebras
Linear and multilinear algebra, 2022 Muraleetharan and Thirulogasanthar (J. Math. Phys. 2018;59(10):103506, 27p.) introduced the concept of the Calkin S-spectrum of a bounded quaternionic linear operator. The study of this spectrum is established using Fredholm operator theory. Motivated by
Hatem Baloudi
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