2000/02/28 by Dmitriy S. Kalyuzhniy, Kalyuzhniy, Dmitriy S.
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.FA #math.OA
paper · pdf · doi:10.48550/arxiv.math/0002234
LaTeX, 12 pages
arxiv created 2000/02/28 · openalex publication_date 2000/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The explicit constructions of minimal isometric, and minimal unitary dilations of an arbitrary linear pencil of operators T(λ)=T0+λT1 consisting of contractions on a separable Hilbert space for |λ|=1, which generalize the classical constructions (the case T1=0), are presented. In contrast to the classical case these dilations are essentially non-unique.