Search Results - "Brešar, M."

Weighted Jordan homomorphisms by Brešar, M., Godoy, M. L. C.

“…Let A and B be unital rings. An additive map is called a weighted Jordan homomorphism if is an invertible central element and for all . We provide assumptions,…”
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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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Maps preserving two-sided zero products on Banach algebras by Brešar, M., Godoy, M.L.C., Villena, A.R.

“…Let A and B be Banach algebras with bounded approximate identities and let Φ:A→B be a surjective continuous linear map which preserves two-sided zero products…”
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On Jordan ideals and submodules: Algebraic and analytic aspects by Brešar, M., Kissin, E. V., Shulman, V. S.

“…Let be an algebra, and let X be an arbitrary -bimodule. A linear space Y ⊂ X is called a Jordan -submodule if Ay + yA ∈ Y for all A ∈ and y ∈ Y . (For X = ,…”
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COMMUTATORS AND SQUARE-ZERO ELEMENTS IN BANACH ALGEBRAS by Alaminos, J., Extremera, J., Villena, A. R., Brešar, M., Špenko, Š.

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Determining elements in C∗-algebras through spectral properties by Alaminos, J., Brešar, M., Extremera, J., Špenko, Š., Villena, A.R.

“…Let A be a unital C∗-algebra and A″ its second dual. By σ(a) and r(a) we denote the spectrum and the spectral radius of a∈A, respectively. The following two…”
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A note on spectrum-preserving maps by Alaminos, J., Brešar, M., Šemrl, P., Villena, A.R.

“…Let A and B be unital semisimple Banach algebras. If ϕ : M 2 ( A ) → B is a bijective spectrum-preserving linear map, then ϕ is a Jordan homomorphism…”
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On bilinear maps determined by rank one idempotents by Alaminos, J., Brešar, M., Extremera, J., Villena, A.R.

“…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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Maps preserving zeros of a polynomial by Alaminos, J., Brešar, M., Špenko, Š., Villena, A.R.

“…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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Derivations preserving quasinilpotent elements by Alaminos, J., Brešar, M., Extremera, J., Špenko, Š., Villena, A. R.

“…We consider a Banach algebra A with the property that, roughly speaking, sufficiently many irreducible representations of A on non‐trivial Banach spaces do not…”
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Zero product preserving maps on C 1 [ 0 , 1 ] by Alaminos, J., Brešar, M., Černe, M., Extremera, J., Villena, A.R.

“…The main result of the paper characterizes continuous bilinear maps ϕ from C 1 [ 0 , 1 ] × C 1 [ 0 , 1 ] into a Banach space X with the property that ϕ ( f , g…”
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On Generalized Biderivations and Related Maps by Bresar, M.

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On Herstein's Lie map conjectures, I by Beidar, K. I., Brešar, M., Chebotar, M. A., Martindale, W. S.

“…We describe surjective Lie homomorphisms from Lie ideals of skew elements of algebras with involution onto noncentral Lie ideals (factored by their centers) of…”
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Jordan Derivations on Semiprime Rings by Brešar, M.

“…I. N. Herstein has proved that any Jordan derivation on a 2-torsion free prime ring is a derivation. In this paper we prove that Herstein's result is true in…”
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On Herstein's Lie Map Conjectures, II by Beidar, K.I, Brešar, M, Chebotar, M.A, Martindale, W.S

“…The theory of functional identities is used to study derivations of Lie algebras arising from associative algebras. Definitive results are obtained modulo…”
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THE NONCOMMUTATIVE SINGER–WERMER CONJECTURE AND $\phi$ -DERIVATIONS by BREšAR, M., VILLENA, A. R.

“…The question of when a $\phi$ -derivation on a Banach algebra has quasinilpotent values, and how this question is related to the noncommutative Singer–Wermer…”
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On automorphisms of Banach algebras by Brešar, M.

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Commuting Traces of Biadditive Maps Revisited by Bresar, M., Semrl, P.

“…Let R be a prime ring with char (R) ≠ 2. It is known that the form of a biadditive map B : R × R → R satisfying [B(x, x), x] = 0 for all x ∈ R can be described…”
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On Herstein's Lie Map Conjectures, III by Beidar, K.I., Brešar, M., Chebotar, M.A., Martindale, W.S.

“…In the two papers, “On Herstein's Lie Map Conjectures, I and II,” solutions of all of Herstein's problems concerning Lie isomorphisms and derivations were…”
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On the Multiplication Ring of a Prime Ring by Brešar, M., Martindale, W. S.

“…Given a positive integer n, we show there is a positive integer f(n) with the following property. Let R be a prime ring with extended centroid C, and let a 1…”
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