Standard commuting dilations and liftings

Santanu Dey. "Standard commuting dilations and liftings." Colloquium Mathematicae 126.1 (2012): 87-94. <http://eudml.org/doc/284251>.

@article{SantanuDey2012,
abstract = {We identify how the standard commuting dilation of the maximal commuting piece of any row contraction, especially on a finite-dimensional Hilbert space, is associated to the minimal isometric dilation of the row contraction. Using the concept of standard commuting dilation it is also shown that if liftings of row contractions are on finite-dimensional Hilbert spaces, then there are strong restrictions on properties of the liftings.},
author = {Santanu Dey},
journal = {Colloquium Mathematicae},
keywords = {row contraction; dilation; contractive lifting; subisometric dilation; coisometric},
language = {eng},
number = {1},
pages = {87-94},
title = {Standard commuting dilations and liftings},
url = {http://eudml.org/doc/284251},
volume = {126},
year = {2012},
}

TY - JOUR
AU - Santanu Dey
TI - Standard commuting dilations and liftings
JO - Colloquium Mathematicae
PY - 2012
VL - 126
IS - 1
SP - 87
EP - 94
AB - We identify how the standard commuting dilation of the maximal commuting piece of any row contraction, especially on a finite-dimensional Hilbert space, is associated to the minimal isometric dilation of the row contraction. Using the concept of standard commuting dilation it is also shown that if liftings of row contractions are on finite-dimensional Hilbert spaces, then there are strong restrictions on properties of the liftings.
LA - eng
KW - row contraction; dilation; contractive lifting; subisometric dilation; coisometric
UR - http://eudml.org/doc/284251
ER -