ON A FRIEDRICHS EXTENSION RELATED TO UNBOUNDED SUBNORMALS-II
نویسندگان
چکیده
منابع مشابه
Unbounded operators, Friedrichs’ extension theorem
Explicit naming of the domain of an unbounded operator is often suppressed, instead writing T1 ⊂ T2 when T2 is an extension of T1, in the sense that the domain of T2 contains that of T1, and the restriction of T2 to the domain of T1 agrees with T1. An operator T ′, D′ is a sub-adjoint to an operator T,D when 〈Tv,w〉 = 〈v, T ′w〉 (for v ∈ D, w ∈ D′) For D dense, for given D′ there is at most one T...
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In this note, by A ⊂ B, I mean that A is contained in B, and it may be that A = B; usually I write this by A ⊆ B, but A ⊂ B fits with the usual notation for saying that an operator is an extension of another. In this note, unless we say otherwise H denotes a Hilbert space over C, and we do not presume H to be separable. We shall write the inner product 〈·, ·〉 on H as conjugate linear in the sec...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2008
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089507003941