CONTENTSIntroduction ........................................................................................................... 51. Notation and definitions.......................................................................................... 72. Elementary properties of dilations........................................................................ 83. Semi-groups and their representations ............................................................. 94. Minimality and uniqueness of dilations............................................................... 135. Positive definite operator valued functions ........................................................ 176. General existence theorems................................................................................. 237. Positive definite functions on groups................................................................... 328. Intertwining operators for dilatable operator functions..................................... 379. Dilations of operator functions on star algebras................................................ 44References.................................................................................................................... 60
@book{bwmeta1.element.zamlynska-154c13f7-5b0d-4e86-8d9e-dbe186e02d48,
author = {W\l odzimierz Mlak},
title = {Dilations of Hilbert space operators (General theory)},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1978},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-154c13f7-5b0d-4e86-8d9e-dbe186e02d48}
}
Włodzimierz Mlak. Dilations of Hilbert space operators (General theory). GDML_Books (1978), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-154c13f7-5b0d-4e86-8d9e-dbe186e02d48/