Results 1 to 10 of about 81 (29)

Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras [PDF]

Annales Mathematicae Silesianae, 2019
Let Alg 𝒩 be a nest algebra associated with the nest 𝒩 on a (real or complex) Banach space 𝕏. Suppose that there exists a non-trivial idempotent P ∈ Alg 𝒩 with range P (𝕏) ∈ 𝒩, and δ : Alg 𝒩 → Alg 𝒩 is a continuous linear mapping (generalized) left ...
Ghahramani Hoger, Sattari Saman
doaj   +3 more sources

ON MULTIPLICATIVE LIE n-HIGHER DERIVATIONS OF TRIANGULAR ALGEBRAS [PDF]

, 2021
Let $\mathrm{R}$ be a commutative ring with unity, $\mathrm{A},\mathrm{B}$ be $\mathrm{R}$-algebras and $\mathrm{M}$ be an $(\mathrm{A}, \mathrm{B})$-bimodule. Let $\mathfrak{T}=Tri(\mathrm{A},\mathrm{M},\mathrm{B})$ be a $(n-1)$-torsion free triangular
Akhtar, Mohd Shuaib, Ansari, Mohammad Afajal, Ashraf, Mohammad, Jabeen, Aisha   +3 more
core   +1 more source

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

Open Mathematics, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
doaj   +1 more source

Jordan {g,h}-derivations on triangular algebras

Open Mathematics, 2020
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
doaj   +1 more source

Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames [PDF]

, 2010
We investigate the topological and metric structure of the set of idempotent operators and projections which have prescribed diagonal entries with respect to a fixed orthonormal basis of a Hilbert space.
Giol, Julien, Kovalev, Leonid V., Larson, David, Nguyen, Nga, Tener, James E.   +4 more
core   +4 more sources

σ-derivations on generalized matrix algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Let 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨).
Jabeen Aisha, Ashraf Mohammad, Ahmad Musheer   +2 more
doaj   +1 more source

On the spectrum of the Sylvester-Rosenblum operator acting on triangular algebras

, 2020
Let A and B be algebras and M be an A -B -bimodule. For A ∈ A , B ∈ B , we define the Sylvester-Rosenblum operator τA,B : M → M via τA,B(M) = AM+MB for all M ∈ M .
L. Marcoux, A. Sourour
semanticscholar   +1 more source

Normalizers of Operator Algebras and Reflexivity [PDF]

, 2000
The set of normalizers between von Neumann (or, more generally, reflexive) algebras A and B (that is, the set of all operators T such that T A T* ⊆ B and T* B T ⊆ A) possesses ‘local linear structure’: it is a union of reflexive linear spaces.
A. Katavolos, I. Todorov
semanticscholar   +1 more source

Invariant linear manifolds for CSL-algebras and nest algebras [PDF]

, 1998
Every invariant linear manifold for a CSL-algebra, AlgL, is a closed subspace if, and only if, each non-zero projection in L is generated by finitely many atoms associated with the projection lattice. When L is a nest, this condition is equivalent to the
A. Hopenwasser
semanticscholar   +1 more source

Spectral synthesis and masa-bimodules [PDF]

, 2002
Generalizing a result of Arveson on finite width CSL algebras, we prove that finite width masa-bimodules satisfy spectral synthesis. Introducing a new class of masa-bimodules, we show that there exists a non-synthetic masa-bimodule, such that the maximal
Todorov, I. G.
core   +1 more source