Phi Omicron

phi-Amenable and phi-biflat Banach algebras

In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.

Omicron Delta Epsilon

The honor society of Phi Kappa Phi.

The Honor Society of Phi Kappa Phi is the nation's oldest, largest, and most highly selective all-discipline honor society, with more than three hundred chapters on campuses across the country. The structure and continuity of the organization depend on volunteer faculty and student leaders at each college or university, both for selection and induction of honorees and for our increasing service...

Omicron ACO. A New Ant Colony Optimization Algorithm

Ant Colony Optimization (ACO) is a metaheuristic inspired by the foraging behavior of ant colonies that has been successful in the resolution of hard combinatorial optimization problems like the Traveling Salesman Problem (TSP). This paper proposes the Omicron ACO (OA), a novel population-based ACO alternative originally designed as an analytical tool. To experimentally prove OA advantages, thi...

A note on Phi-entropies and Phi-Sobolev inequalities