Glasnik matematički, Vol. 48 No. 1, 2013.
Original scientific paper
https://doi.org/10.3336/gm.48.1.09
Bounded injectivity and Haagerup tensor product
Mohammad Asadi
; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran
Alireza Medghalchi
; Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, Iran
Hamed Nikpey
; Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, Iran
Abstract
In this paper, we prove that if V ⊆ B(H) is an injective operator system on a separable Hilbert space H, then V ⊗hW is b-injective for any operator system W if and only if V is finite dimensional.
Keywords
Operator system; injective operator space; bounded injective operator space; Haagerup tensor product
Hrčak ID:
103318
URI
Publication date:
4.6.2013.
Visits: 1.259 *