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On some maximal non-selfadjoint operator algebras
Authors:Aiju Dong  Chengjun Hou
Affiliation:1. School of Mathematics and Computer Engineering, Xi’an University of Arts and Science, Xi’an 710065, China;2. Institute of Operations Research, Qufu Normal University, Rizhao 276826, China
Abstract:We show that the reflexive algebra given by the lattice generated by a maximal nest and a rank one projection is maximal with respect to its diagonal.
Keywords:primary, 47L35   secondary, 47L75, 46L10
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