On centralizers of standard operator algebras with involution
-
Maja Fosner
maja.fosner@fl.uni-mb.si
-
Benjamin Marcen
benjamin.marcen@fl.uni-mb.si
-
Nejc Sirovnik
nejc.sirovnik@uni-mb.si
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000300005Abstract
The purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L(X) be the algebra of all bounded linear operators on X and let A(X) ⊂ L(X) be a standard operator algebra, which is closed under the adjoint operation. Let T : A(X) → L(X) be a linear mapping satisfying the relation 2T(AA∗A) = T(A)A∗A + AA∗T(A) for all A ∈ A(X). In this case T is of the form T(A) = λA for all A ∈ A(X), where λ is some fixed complex number.
Keywords
Most read articles by the same author(s)
- Nejc Sirovnik, On certain functional equation in semiprime rings and standard operator algebras , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
Similar Articles
- Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi, Generalized trace pseudo-spectrum of matrix pencils , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Rodrigue Sanou, Idrissa Ibrango, Blaise Koné, Aboudramane Guiro, Weak solutions to Neumann discrete nonlinear system of Kirchhoff type , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- G. S. Saluja, Fixed point theorems on cone \(S\)-metric spaces using implicit relation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Edoardo Ballico, Curves in low dimensional projective spaces with the lowest ranks , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi, Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Edoardo Ballico, A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\) , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Goutam Haldar, Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Stanislas Ouaro, Noufou Rabo, Urbain Traoré, Numerical analysis of nonlinear parabolic problems with variable exponent and \(L^1\) data , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
<< < 22 23 24 25 26 27 28 29 30 31 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-10-01
How to Cite
[1]
M. Fosner, B. Marcen, and N. Sirovnik, “On centralizers of standard operator algebras with involution”, CUBO, vol. 15, no. 3, pp. 45–50, Oct. 2013.
Issue
Section
Articles
