Glasnik Matematicki, Vol. 48, No. 1 (2013), 97-102.

BOUNDED INJECTIVITY AND HAAGERUP TENSOR PRODUCT

Mohammad B. Asadi, Alireza Medghalchi and Hamed Nikpey

Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, Iran
e-mail: a_medghalchi@saba.tmu.ac.ir

Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, Iran
e-mail: hamednikpey@gmail.com

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.

2010 Mathematics Subject Classification.   47L25, 46L07.

Key words and phrases.   Operator system, injective operator space, bounded injective operator space, Haagerup tensor product.

DOI: 10.3336/gm.48.1.09

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