Operators on triangular algebras

Derivations on dual triangular Banach algebras

Ideal Connes-amenability of dual Banach algebras was investigated in [17] by A. Minapoor, A. Bodaghi and D. Ebrahimi Bagha. They studied weak∗continuous derivations from dual Banach algebras into their weak∗-closed two- sided ideals. This work considers weak∗-continuous derivations of dual triangular Banach algebras into their weak∗-closed two- sided ideals . We investigate when weak∗continuous...

Elementary Maps on Triangular Algebras

In this note we prove that elementary surjective maps on triangular algebras are automatically additive. The study of elementary maps was initiated by Brešar and Šerml. Following ([1]), elementary maps are defined as follows. Definition 1. Let R and R be two rings. Suppose that M : R → R and M : R → R are two maps. Call the ordered pair (M,M) an elementary map of R×R if

Linear Operators Preserving Generalized Numerical Ranges and Radii on Certain Triangular Algebras of Matrices

Let c = (c1, . . . , cn) be such that c1 ≥ · · · ≥ cn. The c-numerical range of an n×n matrix A is defined by

Biflatness and Biprojectivitiy of Triangular Banach Algebras

On generalized Hamacher families of triangular operators

A general functional connective generator is proposed for the Hamacher family in this short study. The connective generator generates a variety of different families in which the original Hamacher family can be observed as a special case. Although the original additive connective generator that was proposed by Dombi is also capable of generating Hamacher norms, we show that there is yet another...