Every separable L₁-predual is complemented in a C*-algebra

Wolfgang Lusky

Studia Mathematica (2004)

  • Volume: 160, Issue: 2, page 103-116
  • ISSN: 0039-3223

Abstract

top
We show that every separable complex L₁-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.

How to cite

top

Wolfgang Lusky. "Every separable L₁-predual is complemented in a C*-algebra." Studia Mathematica 160.2 (2004): 103-116. <http://eudml.org/doc/285241>.

@article{WolfgangLusky2004,
abstract = {We show that every separable complex L₁-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.},
author = {Wolfgang Lusky},
journal = {Studia Mathematica},
keywords = {contractively complemented subspace; CAR-algebra; -predual},
language = {eng},
number = {2},
pages = {103-116},
title = {Every separable L₁-predual is complemented in a C*-algebra},
url = {http://eudml.org/doc/285241},
volume = {160},
year = {2004},
}

TY - JOUR
AU - Wolfgang Lusky
TI - Every separable L₁-predual is complemented in a C*-algebra
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 2
SP - 103
EP - 116
AB - We show that every separable complex L₁-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.
LA - eng
KW - contractively complemented subspace; CAR-algebra; -predual
UR - http://eudml.org/doc/285241
ER -

NotesEmbed ?

top

You must be logged in to post comments.