Transfer Functions for Pairs of Wandering Subspaces

Autor:	Gohm, Rolf
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis Mathematics - Operator Algebras 47A13
Druh dokumentu:	Working Paper
Popis:	To a pair of subspaces wandering with respect to a row isometry we associate a transfer function which in general is multi-Toeplitz and in interesting special cases is multi-analytic. Then we describe in an expository way how characteristic functions from operator theory as well as transfer functions from noncommutative Markov chains fit into this scheme. Comment: In v2: A few typos corrected. Minor changes, in particular Theorem 1.2 improved, Corollary 1.4 added, Section 2 improved with additional comments. To appear in the Proceedings of IWOTA 2010
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.5519 Zobrazit plný text záznamu View this record from Arxiv