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Factor sequences and their algebras

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Algebra of Sequences in Locally Convex Algebras

Algebra of Sequences in Locally Convex Algebras
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s -Sequences and symmetric algebras

manuscripta mathematica, 2001
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Herzog J., RESTUCCIA, Gaetana, Tang Z. M.   +2 more
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Algebraic EHP Sequences Revisited

Proceedings of the Edinburgh Mathematical Society, 2018
AbstractThe algebraic EHP sequences, algebraic analogues of the EHP sequences in homotopy theory, are important tools in algebraic topology. This note will outline two new proofs of the existence of the algebraic EHP sequences. The first proof is derived from the minimal injective resolution of the reduced singular cohomology of spheres, and the second
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ASYMPTOTIC INTERPOLATING SEQUENCES IN UNIFORM ALGEBRAS

Journal of the London Mathematical Society, 2003
Let \(A\) be a uniform algebra. A sequence \(S= \{x_n: n\in \mathbb{N}\}\) of distinct points in the spectrum \(M(A)\) of \(A\) is called asymptotically interpolating if for every \((a_n)\in \ell^\infty\) there exists a function \(f\in A\) such that \(| f(x_n)- a_n|\to 0\) as \(n\to\infty\).
Gorkin, Pamela, Mortini, Raymond
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Algebras of operator sequences

2011
Now we change our topic and move from operator theory to numerical analysis. In this chapter, X is a Banach space (which will be separable and of infinite dimension in all actual settings that we consider), I is the identity operator on X, \({\mathcal{L}} (X)\) is the Banach algebra of all bounded linear operators on X, and \({\mathcal{K}}(X)\) is the ...
Steffen Roch, Pedro A. Santos, Bernd Silbermann   +2 more
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Weak Amenability of Banach Algebra-Valued $$\ell _p$$-Sequence Algebras

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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Krzysztof Koczorowski, Krzysztof Piszczek   +1 more
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On Paving Sequences in C ∗ -Algebras

Proceedings of the American Mathematical Society, 1990
The author introduces the notion of a paving sequence in a \(C^*\)- algebra. A UHF algebra has such a sequence. It is shown that a \(C^*\)- algebra with a paving sequence is simple and in the unital case it is nuclear. It is also shown that under certain conditions, a correspondence between paving sequences of two \(C^*\)-algebras induces a ...
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Hopf algebras of linear recurring sequences

Discrete Mathematics and Applications, 2004
\textit{B. Peterson} and the reviewer identified linearly recursive sequences over a field \(k\) as the continuous dual \(k[x]^0\) to the polynomial algebra \(k[x]\) and studied the Hopf algebra structure on these sequences dual to the Hopf algebra \(k[x]\) with \(x\) primitive [Aequationes Math. 20, 1--17 (1980; Zbl 0434.16008)]. \textit{R. G. Larson}
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