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On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems II
Author(s) -
Hinton D. B.,
Schneider A.
Publication year - 1997
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.3211850107
Subject(s) - mathematics , limit (mathematics) , hermitian matrix , index (typography) , pure mathematics , work (physics) , mathematical analysis , physics , quantum mechanics , world wide web , computer science
Abstract In part I of this work we defined a Titchmarsh‐Weyl‐coefficient M (λ) for singular 8 hermitian systems of arbitrary deficiency index. This construction proceeded by the method of von Noumann for selfadjoint extensions of symmetric operators. In this part we show how a Titchmarsh‐Weyl coefficient M (λ) defined by a limit of Titchmarsh‐Weyl coefficients on compact intervals is related to our M (λ). Examples are given in the intermediate deficiency index case which show that put all limits of Titchmarsh ‐ Weyl coefficients on compact intervals give rise to a singular selfadjoint problem.