Solvability of AXBCXD = E in the operators algebra B(H)

A Mansour - Lobachevskii journal of mathematics, 2010 - Springer
For arbitrary normal bounded linear operators A, B, C and D on a separable infinite
dimensional complex Hilbert space H, we study the resolvability of the operator equation …

Range‐Kernel Orthogonality and Elementary Operators: The Nonsmoothness Case

A Bachir, A Segres, N Sayyaf - Complexity, 2020 - Wiley Online Library
The characterization of the points in C1 (ℋ), the trace class operators, that are orthogonal to
the range of elementary operators has been carried out for certain kinds of elementary …

[PDF][PDF] Why we solve the operator equation AX− XB= C

S Mecheri - preprint - academia.edu
This work studies how certain problems in quantum theory have motivated some recent
reseach in pure Mathematics in matrix and operator theory. The mathematical key is that of a …

Range-kernel weak orthogonality of some elementary operators

A Bachir, A Segres, NA Sayyaf - Open Mathematics, 2021 - degruyter.com
Range-kernel weak orthogonality of some elementary operators Skip to content Should you
have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

N Mesbah, H Messaoudene, A Alharbi - Demonstratio Mathematica, 2021 - degruyter.com
Let ℋ be a complex Hilbert space and ℬ (ℋ) denotes the algebra of all bounded linear
operators acting on ℋ. In this paper, we present some new pairs of generalized finite …

Résolution de deux types d'équations opératorielles et interactions

A Mansour - 2016 - theses.hal.science
Le sujet de cette thèse porte sur la résolution d'équations d'opérateurs dans l'algèbre B (H)
des opérateurs linéaires bornés sur un espace de Hilbert H. Nous étudié celles qui sont …

Fuglede and elementary operators on Banach space

A Segres, A Bachir - Filomat, 2009 - JSTOR
1 Introduction Page 1 Faculty of Sciences and Mathematics, University of Niš, Serbia Available
at: http://www.pmf.ni.ac.rs/filomat Filomat 23:3 (2009), 125–133 DOI:10.2298/FIL0903125S …

Range-Kernel orthogonality and elementary operators on certain Banach spaces

A Bachir, A Segres, NA Sayyaf… - Demonstratio …, 2021 - degruyter.com
The characterization of the points in C p: 1≤ p<∞(ℋ), the Von Neuman-Schatten p-classes,
that are orthogonal to the range of elementary operators has been done for certain kinds of …

[PDF][PDF] Research Article Range-Kernel Orthogonality and Elementary Operators: The Nonsmoothness Case

A Bachir, A Segres, N Sayyaf - 2020 - academia.edu
Research Article Range-Kernel Orthogonality and Elementary Operators: The
Nonsmoothness Case Page 1 Research Article Range-Kernel Orthogonality and …

Equations d'opérateurs sous normaux de type Sylvester

L Hariz Bekkar - 2019 - thesis.univ-biskra.dz
Dans cette thèse, on s' intéresse de donner les conditions necessaires et suffiasantes, pour
qu'une équation d'opérateurs de type Sylvester généralisé AXB-CXD= E admet une solution …