[图书][B] Counterexamples in operator theory

MH Mortad - 2022 - Springer
Counterexamples undeniably play an outstanding role in mathematics. As is known,
counterexamples are patently examples but with a different purpose. The commonly agreed …

[图书][B] An operator theory problem book

MH Mortad - 2018 - books.google.com
This book is for third and fourth year university mathematics students (and Master students)
as well as lecturers and tutors in mathematics and anyone who needs the basic facts on …

Conditions Implying Self-adjointness and Normality of Operators

H Stanković - Complex Analysis and Operator Theory, 2024 - Springer
In this paper, we give new characterizations of self-adjoint and normal operators on a Hilbert
space H. Among other results, we show that if H is a finite-dimensional Hilbert space and …

On the commutativity of closed symmetric operators

S Dehimi, MH Mortad, A Bachir - Analysis Mathematica, 2023 - Springer
ON THE COMMUTATIVITY OF CLOSED SYMMETRIC OPERATORS Page 1 Analysis Math.,
49 (3) (2023), 721–731 DOI: 10.1007/s10476-023-0226-2 ON THE COMMUTATIVITY OF …

When nilpotence implies the zeroness of linear operators

N Frid, MH Mortad, S Dehimi - arXiv preprint arXiv:2008.09509, 2020 - arxiv.org
arXiv:2008.09509v2 [math.FA] 29 Apr 2022 Page 1 arXiv:2008.09509v2 [math.FA] 29 Apr 2022
WHEN NILPOTENCE IMPLIES THE ZERONESS OF LINEAR OPERATORS NASSIMA FRID …

On the reduction of powers of self-adjoint operators

S Kebli, MH Mortad - arXiv preprint arXiv:2407.13861, 2024 - arxiv.org
Let $ T\in B (H) $ be such that $ T^ n $ is self-adjoint for some $ n\in\mathbb {N} $ with $
n\geq 3$. The paper's primary aim is to establish the conditions that lead to the self …

[PDF][PDF] On nilpotence of bounded and unbounded linear operators

N Frid, MH Mortad, S Dehimi - arXiv preprint arXiv:2008.09509, 2020 - academia.edu
arXiv:2008.09509v1 [math.FA] 19 Aug 2020 Page 1 arXiv:2008.09509v1 [math.FA] 19 Aug
2020 ON NILPOTENCE OF BOUNDED AND UNBOUNDED LINEAR OPERATORS NASSIMA …

When nilpotence implies normality of bounded linear operators

N Frid, MH Mortad - arXiv preprint arXiv:1901.09435, 2019 - arxiv.org
arXiv:1901.09435v1 [math.FA] 27 Jan 2019 Page 1 arXiv:1901.09435v1 [math.FA] 27 Jan 2019
WHEN NILPOTENCE IMPLIES NORMALITY OF BOUNDED LINEAR OPERATORS NASSIMA …

[PDF][PDF] THE SQUARE ROOT THEOREM FOR POSITIVE SEMIDEFINITE MATRICES AND THEIR MONOTONICITY

MH MORTAD - arXiv preprint arXiv:2305.11187, 2023 - researchgate.net
arXiv:2305.11187v1 [math.GM] 17 May 2023 Page 1 arXiv:2305.11187v1 [math.GM] 17 May
2023 THE SQUARE ROOT THEOREM FOR POSITIVE SEMIDEFINITE MATRICES AND …

[PDF][PDF] The square root theorem for positive semidefinite matrices and their monotonicity

MA Aouichaoui, MH Mortad - arXiv preprint arXiv:2305.11187, 2023 - arxiv.org
arXiv:2305.11187v2 [math.GM] 18 Jun 2023 Page 1 arXiv:2305.11187v2 [math.GM] 18 Jun
2023 THE SQUARE ROOT THEOREM FOR POSITIVE SEMIDEFINITE MATRICES AND THEIR …