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${\rm P}_1$
subalgebras of $M_n(\mathbb C)$
Stephen Rowe, Junsheng Fang and David R. Larson
Vol. 4 (2011), No. 3, 213–250
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Abstract |
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A linear subspace of has the property if every element of its predual has the form with . We prove that if and is a unital operator subalgebra of which has the property , then . We consider whether this is true for arbitrary . |
Keywords
property $\mathrm P_1$, 2-reflexive
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Mathematical Subject Classification 2000
Primary: 47L05, 47L75
Secondary: 47A15
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Milestones
Received: 28 February 2010
Revised: 14 June 2011
Accepted: 16 June 2011
Published: 13 March 2012
Communicated by Charles R. Johnson
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Authors |
| Stephen Rowe | |
| Department of Mathematics Texas A&M University College Station, Texas 77843-3368 United States |
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| Junsheng Fang | |
| School of Mathematical
Sciences Dalian University of Technology Dalian 116024 China |
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| David R. Larson | |
| Department of Mathematics Texas A&M University College Station, Texas 77843-3368 United States |
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| http://www.math.tamu.edu/~larson | |
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