Left and right inverses in group algebras

Group Inverses and Drazin Inverses over Banach Algebras

For a matrix over a complex commutative unital Banach algebra, necessary and suucient conditions are given for the existence of its group inverse, and more generally, its Drazin inverses. The conditions are easy to check and explicit formulas for the inverses are provided. Some properties of the inverses and an application to operator theory are discussed. This note is a continuation of an earl...

A topology on BCK-algebras via left and right stabilizers

In this paper, we use the left(right) stabilizers of a BCKalgebra (X, &lowast, 0) and produce two basis for two different topologies. Then we show that the generated topological spaces by these basis are Bair, connected, locally connected and separable. Also we study the other properties of these topological spaces.

Frames in right ideals of $C^*$-algebras

we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.

Single Axioms for the Left Group and Right Group Calculi

Right Inverses of Lévy Processes

We call a right continuous increasing process Kx a partial right inverse (PRI) of a given Lévy process X if XKx = x at least for all x in some random interval [0; ) of of positive length. In this paper we give a necessary and su¢ cient condition for the existence of a PRI in terms of the Lévy triplet. AMS subject classi…cation. 60G51 Key words and phrases. Lévy process; ladder height subordinat...