Metric characterizations of isometries and of unital operator spaces and systems

Abstract

We give some new characterizations of unitaries, isometries, unital operator spaces, unital function spaces, operator systems, C*-algebras, and related objects. These characterizations only employ the vector space and operator space structure.

13 pages. A new last section has been added, on function spaces

References in corpus (2)

• An abstract characterization of unital operator spaces
• Vector spaces with an order unit

Cited by in corpus (1)

• Weak* continuous states on Banach algebras