Automorphisms of the algebra of operators in ${}^p$ preserving conditioning

Ryszard Jajte. "Automorphisms of the algebra of operators in $^{p}$ preserving conditioning." Colloquium Mathematicae 120.2 (2010): 263-266. <http://eudml.org/doc/284143>.

@article{RyszardJajte2010,
abstract = {Let α be an isometric automorphism of the algebra $_\{p\}$ of bounded linear operators in $^\{p\}[0, 1]$ (p ≥ 1). Then α transforms conditional expectations into conditional expectations if and only if α is induced by a measure preserving isomorphism of [0, 1].},
author = {Ryszard Jajte},
journal = {Colloquium Mathematicae},
keywords = {algebra of operators in ; conditional expectation; algebraic automorphism; measure preserving set-isomorphism},
language = {eng},
number = {2},
pages = {263-266},
title = {Automorphisms of the algebra of operators in $^\{p\}$ preserving conditioning},
url = {http://eudml.org/doc/284143},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Ryszard Jajte
TI - Automorphisms of the algebra of operators in $^{p}$ preserving conditioning
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 263
EP - 266
AB - Let α be an isometric automorphism of the algebra $_{p}$ of bounded linear operators in $^{p}[0, 1]$ (p ≥ 1). Then α transforms conditional expectations into conditional expectations if and only if α is induced by a measure preserving isomorphism of [0, 1].
LA - eng
KW - algebra of operators in ; conditional expectation; algebraic automorphism; measure preserving set-isomorphism
UR - http://eudml.org/doc/284143
ER -