Displaying similar documents to “Pseudo-inverses, holomorphic functions and Atkinson theory in Banach algebras.”

Pseudo shift operators with large images

M. C. Calderón-Moreno (2002)

Colloquium Mathematicae

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We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.

The stability radius of an operator of Saphar type

Christoph Schmoeger (1995)

Studia Mathematica

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A bounded linear operator T on a complex Banach space X is called an operator of Saphar type if its kernel is contained in its generalized range n = 1 T n ( X ) and T is relatively regular. For T of Saphar type we determine the supremum of all positive numbers δ such that T - λI is of Saphar type for |λ| < δ.

Character pseudo-amenability of Banach algebras

Rasoul Nasr-Isfahani, Mehdi Nemati (2013)

Colloquium Mathematicae

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Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We introduce and study a new notion of amenability for 𝓐 based on existence of a ϕ-approximate diagonal by modifying the concepts of ϕ-amenability and pseudo-amenability. We then apply these results to characterize ϕ-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue-Fourier algebras.

On pseudo-BCI-algebras

Grzegorz Dymek (2015)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.

On pseudo-BCI-algebras

Grzegorz Dymek (2015)

Annales UMCS, Mathematica

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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.

Pseudo-BCH-algebras

Andrzej Walendziak (2015)

Discussiones Mathematicae - General Algebra and Applications

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The notion of pseudo-BCH-algebras is introduced, and some of their properties are investigated. Conditions for a pseudo-BCH-algebra to be a pseudo-BCI-algebra are given. Ideals and minimal elements in pseudo-BCH-algebras are considered.