5 papers
On Lie and associative algebras containing inner derivations
M. Brešar, Š. Špenko
We describe subalgebras of the Lie algebra $\mf{gl}(n^2)$ that contain all inner derivations of (where and is an algebraically closed field of characteristi…
Maps preserving zeros of a polynomial
J. Alaminos, M. Brešar, Š. Špenko +1
Let $\A$ be an algebra and let be a multilinear polynomial in noncommuting indeterminates . We consider the problem of describing linear maps $ϕ:\A\to \A$ tha…
Lie Superautomorphisms on Associative Algebras, II
Y. Bahturin, M. Brešar, Š. Špenko
Lie superautomorphisms of prime associative superalgebras are considered. A definitive result is obtained for central simple superalgebras: their Lie superautomorphisms are of stan…
Identifying derivations through the spectra of their values
M. Brešar, B. Magajna, Š. Špenko
We consider the relationship between derivations and of a Banach algebra that satisfy $\s(g(x)) \subseteq \s(d(x))$ for every , where $\s(\, . \,)$ stands for t…
Determining elements in Banach algebras through spectral properties
M. Brešar, Š. Špenko
Let be a Banach algebra. By and we denote the spectrum and the spectral radius of , respectively. We consider the relationship between elements …