caa a22 4500 467932026 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s00020-006-1424-6 doi (NATIONALLICENCE)springer-10.1007/s00020-006-1424-6 m -Isometric Commuting Tuples of Operators on a Hilbert Space [Elektronische Daten] [Jim Gleason, Stefan Richter] Abstract.: We consider a generalization of isometric Hilbert space operators to the multivariable setting. We study some of the basic properties of these tuples of commuting operators and we explore several examples. In particular, we show that the d-shift, which is important in the dilation theory of d-contractions (or row contractions), is a d-isometry. As an application of our techniques we prove a theorem about cyclic vectors in certain spaces of analytic functions that are properly contained in the Hardy space of the unit ball of $$ \mathbb{C}^d $$ . Birkhäuser Verlag, Basel, 2006 Isometry nationallicence cyclic vectors nationallicence d-shift nationallicence Gleason Jim Department of Mathematics, University of Tennessee, 37996-1300, Knoxville, TN, USA aut Richter Stefan Department of Mathematics, University of Tennessee, 37996-1300, Knoxville, TN, USA aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/2(2006-10-01), 181-196 0378-620X 56:2<181 2006 56 20 https://doi.org/10.1007/s00020-006-1424-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-006-1424-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gleason Jim Department of Mathematics, University of Tennessee, 37996-1300, Knoxville, TN, USA aut NATIONALLICENCE 700 1- Richter Stefan Department of Mathematics, University of Tennessee, 37996-1300, Knoxville, TN, USA aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/2(2006-10-01), 181-196 0378-620X 56:2<181 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer