Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
m-Generalized RightWeighted Group Inverse in Banach Algebras
View through CrossRef
In this paper, we introduce the concept of the m-generalized right w-group inverse. This new inverse naturally extends both the m-weak group inverse and the weak w-group inverse to a more general one-sided setting. We characterize this generalized inverse using the generalized right w-group inverse. We also provide alternative characterizations based on the m-generalized right w-group decomposition and the polar-like property, and investigate the related m-weak right w-group inverse.
Title: m-Generalized RightWeighted Group Inverse in Banach Algebras
Description:
In this paper, we introduce the concept of the m-generalized right w-group inverse.
This new inverse naturally extends both the m-weak group inverse and the weak w-group inverse to a more general one-sided setting.
We characterize this generalized inverse using the generalized right w-group inverse.
We also provide alternative characterizations based on the m-generalized right w-group decomposition and the polar-like property, and investigate the related m-weak right w-group inverse.
Related Results
Quantum B-algebras
Quantum B-algebras
Abstract
The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic...
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
Relations between L-algebras and other logical algebras
Relations between L-algebras and other logical algebras
In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-alge...
Weak module amenability of triangular Banach algebras
Weak module amenability of triangular Banach algebras
Abstract
Let A and B be unital Banach algebras and let M be a unital Banach A,B-module. Forrest and Marcoux [6] have studied the weak amenability of triangular Banac...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
On Kreb Algebras
On Kreb Algebras
In this paper, kreb algebras are introduced. It is shown that that the class of kreb algebras is a wider class than the class of BCI algebras. Properties of kreb algebras are prese...
Countably Generated Algebras of Analytic Functions on Banach Spaces
Countably Generated Algebras of Analytic Functions on Banach Spaces
In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear...
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...