Search Results - "Villena, A. R."

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  1. 1

    ZERO JORDAN PRODUCT DETERMINED BANACH ALGEBRAS by ALAMINOS, J., BREŠAR, M., EXTREMERA, J., VILLENA, A. R.

    “…A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if, for every Banach space $X$ , every bilinear map…”
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    Orthogonally additive polynomials on the algebras of approximable operators by Alaminos, J., Godoy, M. L. C., Villena, A. R.

    Published in Linear & multilinear algebra (02-09-2019)
    “…Let X and Y be Banach spaces, let stands for the algebra of approximable operators on X, and let be an orthogonally additive, continuous n-homogeneous…”
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    Strongly zero product determined Banach algebras by Alaminos, J., Extremera, J., Godoy, M.L.C., Villena, A.R.

    Published in Linear algebra and its applications (01-12-2021)
    “…C⁎-algebras, group algebras, and the algebra A(X) of approximable operators on a Banach space X having the bounded approximation property are known to be zero…”
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    Applications of Kazhdan's property ( T ) to automatic continuity by Alaminos, J., Extremera, J., Villena, A.R.

    “…Let G be a compact group which has the strong Kazhdan's property ( T ) and let τ be an isometric representation of G on L p ( μ ) for some measure space ( Ω ,…”
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    Uniqueness of dilation invariant norms by Moreno, E., Villena, A. R.

    “…Let \delta_a be a nontrivial dilation. We show that every complete norm \|·\| on L^1(\mathbb{R}^N) that makes \delta_a from (L^1(\mathbb{R}^N),\|·\|) into…”
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    Zero product preserving maps on Banach algebras of Lipschitz functions by Alaminos, J., Extremera, J., Villena, A.R.

    “…Let ( K , d ) be a non-empty, compact metric space and α ∈ ] 0 , 1 [ . Let A be either lip α ( K ) or Lip α ( K ) and let B be a commutative unital Banach…”
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    On bilinear maps determined by rank one idempotents by Alaminos, J., Brešar, M., Extremera, J., Villena, A.R.

    Published in Linear algebra and its applications (15-01-2010)
    “…Let M n , n ⩾ 2 , be the algebra of all n × n matrices over a field F of characteristic not 2 , and let Φ be a bilinear map from M n × M n into an arbitrary…”
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    Separating ideals in group algebras by Extremera, J., Villena, A. R.

    Published in Quarterly journal of mathematics (01-09-2004)
    “…Let G be a non‐compact locally compact group and let A be a unital Banach algebra. We show that the only separating ideal in L1(G,A) is {0}. This entails that…”
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    Maps preserving zeros of a polynomial by Alaminos, J., Brešar, M., Špenko, Š., Villena, A.R.

    Published in Linear algebra and its applications (01-04-2012)
    “…Let A be an algebra and let f(x1,…,xd) be a multilinear polynomial in noncommuting indeterminates xi. We consider the problem of describing linear maps ϕ:A→A…”
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    Metric versions of Herstein's theorems on Jordan maps by Alaminos, J., Extremera, J., Villena, A.R.

    Published in Linear & multilinear algebra (01-08-2012)
    “…Let A be a Banach algebra and let B be an ultraprime Banach algebra. If Φ: A → B is a surjective continuous linear map which tends to satisfy the Jordan…”
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    Elements in a commutative Banach algebra determining the norm topology by Villena, A. R.

    “…For an element a of a commutative complex Banach algebra\linebreak (A,\|·\|) we investigate the following property: every complete norm |·| on A making the…”
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    Derivations and homomorphisms in commutator-simple algebras by Alaminos, J, Brešar, M, Extremera, J, Godoy, M. L. C, Villena, A. R

    Published 20-11-2022
    “…We call an algebra $A$ commutator-simple if $[A,A]$ does not contain nonzero ideals of $A$. After providing several examples, we show that in these algebras…”
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    Orthogonally additive polynomials on Banach function algebras by Villena, A.R.

    “…For a Banach function algebra A, we consider the problem of representing a continuous d-homogeneous polynomial P:A→X, where X is an arbitrary Banach space,…”
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    Differential equations related to the Williams-Bjerknes tumour model by Martinez, F, Villena, A R

    “…We investigate an initial value problem which is closely related to the Williams-Bjerknes tumour model for a cancer which spreads through an epithelial basal…”
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    Continuity of Lie mappings of the skew elements of Banach algebras with involution by Berenguer, M. I., Villena, A. R.

    “…Let A and B be centrally closed prime complex Banach algebras with linear involution. If A is semisimple, then any Lie derivation of the skew elements of A is…”
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    SEMISIMPLE BANACH ALGEBRAS GENERATED BY STRONGLY CONTINUOUS REPRESENTATIONS OF MOORE GROUPS by Alaminos, J., Extremera, J., Villena, A. R.

    Published in Quarterly journal of mathematics (01-06-2008)
    “…We prove that if τ is a strongly continuous bounded representation of a Moore group G on a Banach space X, and if the Arveson spectrum of τ is scattered, then…”
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    A note on the path holomorphy of random functions holomorphic in mean by Martinez, F., Villena, A. R.

    “…Every random function holomorphic in mean on an open subset of the complex field is equivalent to a random function with almost all its paths holomorphic on D…”
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    Lie Derivations on Banach Algebras by Villena, A.R.

    Published in Journal of algebra (01-04-2000)
    “…Let D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ideal P of A, except for a finite set of them which have finite…”
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