Original scientific paper

https://doi.org/10.3336/gm.53.1.12

Globally exact operator spaces

Massoud Amini ; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran 19395-5746, Iran
Alireza Medghalchi ; Department of Mathematics, Kharazmi University, 50 Taleghani Avenue, Tehran 15618, Iran
Hamed Nikpey ; Department of Mathematics, Shahid Rajaei Teacher Training University, Tehran 16785-136, Iran

Abstract

Exact operator spaces are known to be locally reflexive, but the converse is not true. We introduce the notion of global exactness and show that it is equivalent to reflexivity for injective operator spaces.

Keywords

Operator space; injective operator space; injective envelope; exact operator space; globally exact operator space; local reflexivity

Hrčak ID:

201830

URI

https://hrcak.srce.hr/201830

Publication date:

20.6.2018.

Visits: 791 *