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Czechoslovak Mathematical Journal, 2002
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Homomorphisms of Commutative Banach Algebras
American Journal of Mathematics, 1960If v: f -> 3, then the function I = I v(x) 11, x C W, is a multiplicative semi-norm on W. Conversely (cf. Section 1), every multiplicative semi-norm is the norm of a homomorphism. Thus all our results on continuity of homomorphisms could be stated equivalently in terms of continuity properties of multiplicative semi-norms on Wf.
Bade, W. G., Curtis, P. C. jun.
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Quantum Homomorphisms of Associative Algebras
Modern Physics Letters A, 1997Given an associative algebra A generated by {ek, k=1, 2,…} and with an internal law of type: [Formula: see text], we first show that it is possible to construct a quantum bi-algebra [Formula: see text] with unit and generated by (non-necessarily commutative) elements [Formula: see text] satisfying the relations: [Formula: see text].
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Homomorphisms between JC*–algebras and Lie C*–algebras
Acta Mathematica Sinica, English Series, 2005Using the stability methods of linear functional equations, the authors prove the generalized Hyers-Ulam-Rassias stability of homomorphisms between \(JC^*\)-algebras and Lie \(C^*\)-algebras associated to the Cauchy, Jensen and Trif equations. There are some similarities to the results of \textit{C. G. Park} [Bull. Braz. Math. Soc. (N.S.) 36, No. 1, 79-
Park, Chun Gil +2 more
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Algebra environments II. Algebra homomorphisms and derivations
Linear Algebra and its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discontinuous homomorphisms from C*-algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 1991AbstractA necessary and sufficient condition is given for a unital C*-algebra A to admit a discontinuous homomorphism into a Banach algebra which is continuous on its centre. The condition is that A must have a Glimm ideal G such that the C*-algebra A/G admits a discontinuous homomorphism into a Banach algebra.
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Abstract Homomorphisms of Algebraic Groups
Journal of the London Mathematical Society, 1997Let \(K\) be an infinite perfect field and \(L\) an algebraically closed field of the same characteristic \(p\) (\(p=0\) or a prime). Let \(G(K)\) denote a Chevalley group of universal type over \(K\) and \(Y(L)\) an algebraic group over \(L\). This paper is concerned with abstract homomorphisms from \(G(K)\) to \(Y(L)\).
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Algebraic Functions and Inner Homomorphisms of Universal Algebras
Siberian Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compact Homomorphisms of C ∗ -Algebras
Proceedings of the American Mathematical Society, 1988If \(\theta\) is a compact endomorphism on a commutative, semisimple, unital Banach algebra A, and \(\theta^*\) is the adjoint of \(\theta\), it is shown by \textit{H. Kamowitz} [Pac. J. Math. 89, 313-325 (1980; Zbl 0465.46047)] that the intersection \(\cap \theta^{*n}(A')\) is finite, where A' is the set of all multiplicative linear functionals on A ...
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Homomorphisms between Poisson JC*-Algebras
Bulletin of the Brazilian Mathematical Society, New Series, 2005See the review of the author's paper [J. Lie Theory 15, No. 2, 393--414 (2005; Zbl 1091.39006)].
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