Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Weighted G-Drazin inverse for operators on Banach spaces
View through CrossRef
We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized and some new ones are proved. Using weighted G-Drazin inverses, we introduce and characterize a new weighted pre-order on the set of all bounded linear operators between two Banach spaces. As an application, we present and study the G-Drazin inverse and the G-Drazin partial order for operators on Banach space.
Technical University of Cluj Napoca, North University Center of Baia Mare
Title: Weighted G-Drazin inverse for operators on Banach spaces
Description:
We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces.
Some properties of weighted G-Drazin inverses are generalized and some new ones are proved.
Using weighted G-Drazin inverses, we introduce and characterize a new weighted pre-order on the set of all bounded linear operators between two Banach spaces.
As an application, we present and study the G-Drazin inverse and the G-Drazin partial order for operators on Banach space.
Related Results
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
Some spectral properties of linear operators satisfying two important symmetric equalities
Some spectral properties of linear operators satisfying two important symmetric equalities
We study the importance of Drazin invertibility of operators on Banach space, in this work we present some common spectral properties for some class of bounded linear operators o...
New characterizations of g-Drazin inverse in a Banach algebra
New characterizations of g-Drazin inverse in a Banach algebra
In this paper, we present a new characterization of g-Drazin inverse in a
Banach algebra. We prove that an element a in a Banach algebra has g-Drazin
inverse if and only if t...
Some additive results for the W g-Drazin inverse of Banach space operators
Some additive results for the W g-Drazin inverse of Banach space operators
We investigate additive properties of W g–Drazin inverse of two W g-Drazin invertible linear operators in Banach spaces under the commutative case. These results generalize recent ...
On characterizations of a some classes of Schauder frames in Banach spaces
On characterizations of a some classes of Schauder frames in Banach spaces
Abstract
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space B (resp...
Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation
Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation
In this paperwe investigate the spectrum and the Drazin spectrum and their
pseudo spectral analogues, for linear relations between Banach spaces and
corresponding spectra, th...
Functional Analysis
Functional Analysis
Abstract
The article contains sections titled:
Banach Space and Operators on Them
Vector and Normed Spaces
...
On a few non-linear and isometric aspects of asymptotic geometry of Banach spaces
On a few non-linear and isometric aspects of asymptotic geometry of Banach spaces
Sur quelques aspects non-linéaires et isométriques de la géométrie asymptotique des espaces de Banach
Cette thèse est consacrée à l'étude de la géométrie des espace...