Results 41 to 50 of about 297,006 (207)
Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
Abstract and Applied Analysis, 2013 We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
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On the Nonnegative Rank of Positive Operators
Mathematische Nachrichten, Volume 299, Issue 11, Page 3689-3704, November 2026.ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
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Jordan and Local Multipliers on Certain Banach Algebras are Multipliers [PDF]
Sahand Communications in Mathematical AnalysisWe prove that every continuous Jordan multiplier $T$ from a $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some ...
Abbas Zivari-Kazempour, Ahmad Minapoor
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, Volume 47, Issue 6, Page 1124-1138, November 2026.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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Comparisons between different spectra of an element in a Banach algebra
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper we study the relationships among the spectra of the cosets of an element of a Banach algebra in some quotient algebras. We also characterize the spectrum of any a∈M (where M is an ideal of a Banach algebra with identity and moreover has an ...
Laura Burlando
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Inverse scattering problems for half-line Schrödinger operators and Banach algebras [PDF]
Opuscula Mathematica, 2018 The inverse scattering problem for half-line Schrödinger operators with potentials from the Marchenko class is shown to be closely related to some Banach algebra of functions on the line. In particular, it is proved that the topological conditions in the
Yaroslav Mykytyuk, Nataliia Sushchyk
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Tilings and coverings by balls in ℓ1$\ell _1$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract A famous result of Klee from 1981 is that the Banach space ℓ1(κ)$\ell _1(\kappa)$ admits a disjoint tiling by balls of radius 1, for all cardinals κ$\kappa$ with κℵ0=κ$\kappa ^{\aleph _0} =\kappa$. Klee also observed that the smallest cardinal in which such a tiling might exist is κ=2ℵ0$\kappa = 2^{\aleph _0}$, leaving open the question ...
Carlo Alberto De Bernardi +3 more
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Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras
Journal of Inequalities and Applications, 2005 We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between ...
Hirasawa Go +2 more
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Geul - Sinclair 's non - aggregate theorem - applied empirical study H* [PDF]
مجلة التربية والعلم, 2006 In this paper, we generalized the Jewell-Sinclair theorem to include not only associative Banach algebra but also the nonassociative Banach algebra. Our methods in extend Jewell-Sinclair theorem is based on the theory of multiplication algebra of an ...
Amer Mohammed, Ammar Idrees
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Proceedings of the American Mathematical Society, 1969 Introduction. The purpose of this note is to prove the theorem that follows. This theorem generalizes results of L. Ingelstam [2] and M. F. Smiley [4] for Hilbert algebras. It also provides a simpler proof of Corollary which was obtained by F. F. Bonsall and J. Duncan [1]. (This result was obtained before I was aware of the work of Bonsall and Duncan.)
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