Why Phi?

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.

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...

A note on Phi-entropies and Phi-Sobolev inequalities

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.

Phi is not beta, and why Wertheimer’s discovery launched the Gestalt revolution

Max Wertheimer (1880-1943), the founder of the Gestalt School of Psychology, published a monograph on the perception of apparent motion in 1912, which initiated a new direction for a great deal of subsequent perceptual theory and research. Wertheimer's research was inspired by a serendipitous observation of a pure apparent movement, which he called the phi-phenomenon to distinguish it from opti...