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Semi‐Groups of Subnormal Operators
Author(s) -
Nussbaum A. Edward
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-14.2.340
Subject(s) - hilbert space , mathematics , corollary , group (periodic table) , unitary state , pure mathematics , space (punctuation) , compact operator on hilbert space , unitary operator , operator space , compact operator , computer science , banach space , physics , finite rank operator , quantum mechanics , political science , law , extension (predicate logic) , programming language , operating system
A short new proof that every continuous semi‐group of subnormal operators in a Hilbert space may be extended to a continuous semi‐group of normal operators in a larger Hilbert space is given. As a corollary, the result of Cooper that every continuous semi‐group of isometries in a Hilbert space can be extended to a continuous group of unitary operators in a larger Hilbert space is obtained.