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Special Additive and Multiplicative Commutator Representations for Diagonal Operators
Author(s) -
Scholz E.,
Timmermann W.
Publication year - 1991
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.19911500106
Subject(s) - mathematics , commutator , hilbert space , diagonal , multiplicative function , class (philosophy) , pure mathematics , separable space , algebra over a field , subspace topology , linear subspace , space (punctuation) , mathematical analysis , linguistics , lie conformal algebra , geometry , artificial intelligence , computer science , philosophy
Let be a dense linear subspace of a separable Hilbert space and let ℒ + () be the maximal Op *‐Algebra on . The paper deals with a class of diagonal operators of ℒ + (), for which we can prove some results concerning special commutator representations. For this end ideas of [1] are generalized.