On the deficiency index of even order symmetric differential expressions with essential spectrum | Zendy

Roque Marian P. | Zendy; Schultze Bernd | Zendy

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On the deficiency index of even order symmetric differential expressions with essential spectrum

Author(s) -

Roque Marian P.,

Schultze Bernd

Publication year - 2011

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.200810141

Subject(s) - mathematics , spectrum (functional analysis) , order (exchange) , essential spectrum , combinatorics , differential (mechanical device) , mathematical physics , pure mathematics , physics , quantum mechanics , thermodynamics , finance , economics

It shall be shown that for every n , \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$k \in \mathbb {N}$\end{document} with n ⩽ k < 2 n , there exist real symmetric differential expressions M of order 2 n with nonempty essential spectrum such that d ( M ) = k . © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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