On some dilation theorems for positive definite operator valued functions

• Autorzy: Flavius Pater , Tudor Bînzar
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to prove dilation theorems for operators from a linear complex space to its Z-anti-dual space. The main result is that a bounded positive definite function from a *-semigroup Γ into the space of all continuous linear maps from a topological vector space X to its Z-anti-dual can be dilated to a *-representation of Γ on a Z-Loynes space. There is also an algebraic counterpart of this result.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47A20: Dilations, extensions, compressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 228
• Numer: 2
• Strony: 109-122

Daty

wydano

2015

Twórcy

autor

Flavius Pater

• Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania

autor

Tudor Bînzar

• Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania

Identyfikatory

DOI

10.4064/sm228-2-2