Model Spaces for Compositions of  Q  ‐ Functions | Zendy

Kaltenbäck Michael | Zendy

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Model Spaces for Compositions of Q ‐ Functions

Author(s) -

Kaltenbäck Michael

Publication year - 1998

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.19981950109

Subject(s) - mathematics , extension (predicate logic) , pure mathematics , function (biology) , connection (principal bundle) , composition (language) , tensor (intrinsic definition) , relation (database) , hilbert space , mathematical analysis , geometry , linguistics , philosophy , database , evolutionary biology , computer science , biology , programming language

Given two Q ‐ functions f and g , a symmetric relation and a selfadjoint extension is constructed whose Q ‐ function is the composition f o g. To obtain this result we use the concept of tensor products of Hilbert spaces. Furthermore for a symmetric relation S and a selfadjoint extension A the Q ‐ function of S and A is related to the Q ‐ function of S −1 and A −1 . This connection is used to characterize some properties of S and A by means of their Q ‐ function.

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