COMMUTATION PROPERTIES OF SYMMETRICAL OPERATORS

Authors
TRAPANI C
Citation
C. Trapani, COMMUTATION PROPERTIES OF SYMMETRICAL OPERATORS, Mathematische Nachrichten, 174, 1995, pp. 305-315
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
174
Year of publication
1995
Pages
305 - 315
Database
ISI
SICI code
0025-584X(1995)174:<305:CPOSO>2.0.ZU;2-0
Abstract
This relationship between the weak and strong bounded commutants of a symmetric operator S and the commutant of a generalized spectral famil y (in Naimark's sense) of S is studied. A characterization of the exis tence of self-adjoint extensions of S via von Neumann subalgebras of t he weak commutant is also given.