Zobrazeno 1 - 10
of 35
pro vyhledávání: '"47A10, 47A53"'
Autor:
Rashid, M. H. M.
This article delves into the analysis of various spectral properties pertaining to totally paranormal closed operators, extending beyond the confines of boundedness and encompassing operators defined in a Hilbert space. Within this class, closed symm
Externí odkaz:
http://arxiv.org/abs/2409.17260
Autor:
Abad, Othman, Zguitti, Hassane
This paper is a continuation of our paper [Med. J. Math 19, Article number: 31 (2022)] in which we extended the notion of generalized Drazin-Riesz invertible operators to closed operators. We establish here, results relating the notion of closed gene
Externí odkaz:
http://arxiv.org/abs/2310.04616
Autor:
Abad, Othman, Zguitti, Hassan
We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible
Externí odkaz:
http://arxiv.org/abs/2204.04675
Autor:
Rabinovich, Vladimir
We consider the $3-D$ Dirac operator $\mathfrak{D}_{\boldsymbol{A},\Phi ,Q_{\sin }}$ with variable regular magnetic and electrostatic potentials $ \boldsymbol{A}$,$\Phi $ and with singular potentials $Q_{\sin }$ with support on a smooth unbounded sur
Externí odkaz:
http://arxiv.org/abs/2011.08369
Let $A\in\mathcal{B}(X)$, $B\in\mathcal{B}(Y)$ and $C\in\mathcal{B}(Y,X)$ where $X$ and $Y$ are infinite Banach or Hilbert spaces. Let $M_{C}=\begin{pmatrix} A & C\cr 0 & B \end{pmatrix}$ be $2\times 2$ upper triangular operator matrix acting on $X\o
Externí odkaz:
http://arxiv.org/abs/1907.12032
In a right quaternionic Hilbert space, following the complex formalism, decomposable operators, the so-called Bishop's property and the single valued extension property are defined and the connections between them are studied to certain extent. In pa
Externí odkaz:
http://arxiv.org/abs/1905.05936
Autor:
Gupta, Anuradha, Kumar, Ankit
In this paper, we give a new characterization of generalized Browder's theorem by considering equality between the generalized Drazin-meromorphic Weyl spectrum and the generalized Drazin-meromorphic spectrum. Also, we generalize Cline's formula to th
Externí odkaz:
http://arxiv.org/abs/1905.01599
Autor:
Zguitti, Hassane
Let $X$ and $Y$ be Banach spaces, $A\,:\,X\rightarrow Y$ and $B,\,C\,:\,Y\rightarrow X$ be bounded linear operators. We prove that if $A(BA)^2=ABACA=ACABA=(AC)^2A,$ then $$\sigma_{*}(AC)\setminus\{0\}=\sigma_{*}(BA)\setminus\{0\}$$ where $\sigma_*$ r
Externí odkaz:
http://arxiv.org/abs/1903.11153
Autor:
Bala, Neeru, Ramesh, G.
Publikováno v:
Ann. Funct. Anal. (2020)
In this article we discuss a few spectral properties of a paranormal closed operator (not necessarily bounded) defined in a Hilbert space. This class contains closed symmetric operators. First we show that the spectrum of such an operator is non empt
Externí odkaz:
http://arxiv.org/abs/1810.04469
Publikováno v:
J. Geom.Phys., 135 (2019) 7-20
In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quaternionic Hilbert space. In particular, we give a characterization for the S
Externí odkaz:
http://arxiv.org/abs/1805.10131