Characteristic Functions of Liftings

zbMath1222.47009arXiv0707.1417MaRDI QIDQ5391197

Rolf Gohm, Santanu S. Dey

Publication date: 6 April 2011

Full work available at URL: https://arxiv.org/abs/0707.1417

zbMATH Keywords

fixed pointcharacteristic functioncompletely positive mapcontractive liftingrow contractioncoisometriccompletely non-coisometricsubisometric dilationmultianalytic

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Characteristic functions of liftings-II ⋮ Non-commutative Markov chains and multi-analytic operators ⋮ Generalized Repeated Interaction Model and Transfer Functions ⋮ Factorizations of characteristic functions of iterated liftings ⋮ Weak Markov processes as linear systems ⋮ Functional models and minimal contractive liftings

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