Zobrazeno 1 - 10
of 351
pro vyhledávání: '"Brešar, M."'
Let $f=f(x_1,\dots,x_m)$ be a multilinear polynomial over a field $F$. An $F$-algebra $A$ is said to be $f$-zpd ($f$-zero product determined) if every $m$-linear functional $\varphi\colon A^{m}\rightarrow F$ which preserves zeros of $f$ is of the for
Externí odkaz:
http://arxiv.org/abs/2310.15038
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 derivations are determined by a condition that is applicable to the study of local derivation
Externí odkaz:
http://arxiv.org/abs/2211.03460
Let $A$ and $B$ be Banach algebras with bounded approximate identities and let $\Phi:A\to B$ be a surjective continuous linear map which preserves two-sided zero products (i.e., $\Phi(a)\Phi(b)=\Phi(b)\Phi(a)=0$ whenever $ab=ba=0$). We show that $\Ph
Externí odkaz:
http://arxiv.org/abs/2112.08809
Publikováno v:
J. Aust. Math. Soc. 111 (2021) 145-158
A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if every continuous bilinear map $\varphi\colon A\times A\to X$, where $X$ is an arbitrary Banach space, which satisfies $\varphi(a,b)=0$ whenever $a$, $b\in A$ are su
Externí odkaz:
http://arxiv.org/abs/1902.04846
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2022 515(1)
A Banach algebra $A$ is said to be zero Lie product determined if every continuous bilinear functional $\varphi \colon A\times A\to \mathbb{C}$ satisfying $\varphi(a,b)=0$ whenever $ab=ba$ is of the form $\varphi(a,b)=\omega(ab-ba)$ for some $\omega\
Externí odkaz:
http://arxiv.org/abs/1709.09432
A Banach algebra $A$ is said to be zero Lie product determined if every continuous bilinear functional $\varphi \colon A\times A\to \mathbb{C}$ with the property that $\varphi(a,b)=0$ whenever $a$ and $b$ commute is of the form $\varphi(a,b)=\tau(ab-
Externí odkaz:
http://arxiv.org/abs/1610.03638
We consider a Banach algebra $A$ with the property that, roughly speaking, sufficiently many irreducible representations of $A$ on nontrivial Banach spaces do not vanish on all square zero elements. The class of Banach algebras with this property tur
Externí odkaz:
http://arxiv.org/abs/1307.2210
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2019 474(2):1498-1511
Let $\A$ be an algebra and let $f(x_1,...,x_d)$ be a multilinear polynomial in noncommuting indeterminates $x_i$. We consider the problem of describing linear maps $\phi:\A\to \A$ that preserve zeros of $f$. Under certain technical restrictions we so
Externí odkaz:
http://arxiv.org/abs/1204.5215