Calkin Representations of Unbounded Operator Algebras Acting on Non‐Separable Domains | Zendy

Kürsten KlausDetlef | Zendy; Milde Michael | Zendy

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Calkin Representations of Unbounded Operator Algebras Acting on Non‐Separable Domains

Author(s) -

Kürsten KlausDetlef,

Milde Michael

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.19911540124

Subject(s) - mathematics , irreducibility , pure mathematics , unitary state , separable space , operator (biology) , ideal (ethics) , kernel (algebra) , unitary representation , operator algebra , algebra over a field , class (philosophy) , irreducible representation , mathematical analysis , chemistry , repressor , transcription factor , biochemistry , gene , philosophy , epistemology , lie group , artificial intelligence , political science , computer science , law

There are constructed representations of unbounded operator algebras which generalize representations of B ( H ) constructed by J. W. CALKIN and H. BEHNCKE. For a large class of unitary spaces D , each uniformly closed two‐sided ideal of the maximal Op *‐algebra L + ( D ) appears as kernel of such a representation. Irreducibility of the representations is characterized in terms of properties of ultrafilters which define the representations.

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