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Tsirelson like operator spaces
Author(s) -
Lee Hun Hee
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810118
Subject(s) - mathematics , operator (biology) , homogeneous , pure mathematics , space (punctuation) , construct (python library) , finite rank operator , compact operator , combinatorics , banach space , computer science , biochemistry , chemistry , repressor , transcription factor , extension (predicate logic) , gene , programming language , operating system
We construct nontrivial examples of weak‐ C p( 1 ≤ p ≤ ∞ ) operator spaces with the local operator space structure very close toC p = [ R , C ] 1 p. These examples are non‐homogeneous Hilbertian operator spaces, and their constructions are similar to that of 2‐convexified Tsirelson's space by W. B. Johnson.