Titlebook: Unbounded Operator Algebras and Representation Theory; Konrad Schmüdgen Book 1990 Springer Basel AG 1990 Hilbert space.algebra.field.lie a

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Konrad Schmüdgenll business owner—reveal that RFRA legislation threatens this balance by undermining neutral government action and treats citizens unequally before the law..978-1-137-58414-4Series ISSN 2731-6769 Series E-ISSN 2731-6777

Aviary

annexation

nuclear-tests

O-Families and Their Graph Topologiesf closable linear operators defined on a common (dense) domain in a Hilbert space which contains the identity map. By means of the graph seminorms, each O-family . gives rise to a locally convex topology on its domain, the graph topology of .. The corresponding locally convex space is denoted by ...

Ligneous

Spaces of Linear Mappings Associated with O-Families and Their Topologizatione methods of their topologization. Though the case we are mainly interested in is when the O-families are O*-algebras, we give most of the basic definitions and facts in the more general context of O-families. Suppose that . and . are O-families in the Hubert space ..

drusen

Topologies for O-Families with Metrizable Graph Topologiesished. Assuming throughout that the graph topologies of the O-families resp. O*-algebras are metrizable, the present chapter continues the study of the topologies .., ........ and ... There are a number of results which can be obtained under this additional assumption.

Arbitrary

Commutantss of commutants of O*-algebras are investigated. Section 7.1 contains some general results on strongly commuting self-adjoint operators. Apart from being of interest in itself, they are used in Sections 7.3, 9.1 and 10.2. In Section 7.2 we define six (in general different) concepts of unbounded and

歌剧等

Basics of *-Representations representation of ? is a homomorphism . of the algebra ? onto an O-algebra which maps the unit of ? into the identity map. If the image π(?) is an O*-algebra and . preserves the involution, then . is called a *-representation of ?. Though our main intention is the study of *-representations, we nee

公社

Self-Adjoint Representations of Commutative *-Algebrasns if, roughly speaking, the self-adjointness of certain *-representations is assumed. Thus seld-adjoint representations are basic objects in the theory of *-representations of general *-algebras. In this chapter we are concerned with self-adjoint representations of . *-algebras.

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