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Non Strongly Bounded Operators and ℓ 1
Author(s) -
Lewis Paul
Publication year - 2002
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 - 10.1002/1522-2616(200201)233:1<197::aid-mana197>3.0.co;2-b
Subject(s) - mathematics , bounded function , bounded operator , isomorphism (crystallography) , measure (data warehouse) , operator (biology) , space (punctuation) , function (biology) , pure mathematics , measurable function , combinatorics , discrete mathematics , mathematical analysis , data mining , crystallography , biochemistry , chemistry , linguistics , philosophy , repressor , evolutionary biology , biology , computer science , transcription factor , gene , crystal structure
If T : C ( H , E ) → F is an operator on an abstract continuous function space and T is not strongly bounded, then there is a complemented copy of ℓ 1 in F * which is closely associated with the representing measure of T and upon which T * acts as an isomorphism.