Results 31 to 40 of about 877 (187)
Inverse scattering problems for half-line Schrödinger operators and Banach algebras [PDF]
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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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Comparisons between different spectra of an element in a Banach algebra
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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Jordan and Local Multipliers on Certain Banach Algebras are Multipliers [PDF]
We 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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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
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A Banach Algebra Similar to Cameron-Storvick’s One with Its Equivalent Spaces
Let C[0,T] denote an analogue of a generalized Wiener space, that is, the space of continuous, real-valued functions on the interval [0,T]. In this paper, we introduce a Banach algebra on C[0,T] which generalizes Cameron-Storvick’s one, the space of ...
Dong Hyun Cho
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ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras
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
doaj
Geul - Sinclair 's non - aggregate theorem - applied empirical study H* [PDF]
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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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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