Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Mortad, Mohammed Hichem"'
Autor:
Kebli, Salima, Mortad, Mohammed Hichem
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-adjointness of $T$. We pay particular attention to the case where $T^3=0$ and ho
Externí odkaz:
http://arxiv.org/abs/2407.13861
In this note, simple proofs of certain well-known results involving the positive square root of positive matrices are given.
Externí odkaz:
http://arxiv.org/abs/2305.11187
Autor:
Mortad, Mohammed Hichem
In this paper, we are concerned with conditions under which $[p(T)]^*=\bar{p}(T^*)$, where $p(z)$ is a one-variable complex polynomial, and $T$ is an unbounded, densely defined, and linear operator. Then, we deal with the validity of the identities $
Externí odkaz:
http://arxiv.org/abs/2208.04812
Autor:
Mortad, Mohammed Hichem
In this note, we mainly investigate the validity of the identities $(TT^*)^*=TT^*$ and $(T^*T)^*=T^*T$, where $T$ is a densely defined closable (or symmetric) operator.
Externí odkaz:
http://arxiv.org/abs/2203.10634
In this article, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetric operator.
Comment: arXiv admin note: substantial text overlap with arXiv:2201.10604
Comment: arXiv admin note: substantial text overlap with arXiv:2201.10604
Externí odkaz:
http://arxiv.org/abs/2203.07266
In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.
Comment: arXiv admin note: substantial text overlap with arXiv:2201.10604
Comment: arXiv admin note: substantial text overlap with arXiv:2201.10604
Externí odkaz:
http://arxiv.org/abs/2203.06715
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2024 539(1) Part 2
In this note, we introduce generalized powers of linear operators. More precisely, operators are not raised to numbers but to other operators. We discuss several properties as regards this notion.
Externí odkaz:
http://arxiv.org/abs/2202.04999
In this article, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem. As applications, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetr
Externí odkaz:
http://arxiv.org/abs/2201.10604