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Ordered C * ‐Modules
Author(s) -
Blecher David P.,
Werner Wend
Publication year - 2006
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1017/s0024611505015595
Subject(s) - mathematics , projection (relational algebra) , operator (biology) , pure mathematics , algebra over a field , discrete mathematics , algorithm , biochemistry , chemistry , repressor , transcription factor , gene
In this first part of a study of ordered operator spaces, we develop the basic theory of ‘ordered C * ‐bimodules’. A crucial role is played by ‘open tripotents’, a JB * ‐triple variant of Akemann's notion of open projection. 2000 Mathematics Subject Classification 46L08, 47L07 (primary), 46L07, 47B60, 47L05 (secondary).