Homomorphisms on algebras of Lipschitz functions

Fernanda Botelho, and James Jamison. "Homomorphisms on algebras of Lipschitz functions." Studia Mathematica 199.1 (2010): 95-106. <http://eudml.org/doc/285910>.

@article{FernandaBotelho2010,
abstract = {We characterize a class of *-homomorphisms on Lip⁎(X,𝓑(𝓗 )), a non-commutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in 𝓑(𝓗 ). We show that the zero map is the only multiplicative *-preserving linear functional on Lip⁎(X,𝓑(𝓗 )). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip⁎(X,𝓑(𝓗 )).},
author = {Fernanda Botelho, James Jamison},
journal = {Studia Mathematica},
keywords = {Banach *-algebras of Lipschitz functions; *-homomorphisms; *-isomorphisms; algebraic reflexivity},
language = {eng},
number = {1},
pages = {95-106},
title = {Homomorphisms on algebras of Lipschitz functions},
url = {http://eudml.org/doc/285910},
volume = {199},
year = {2010},
}

TY - JOUR
AU - Fernanda Botelho
AU - James Jamison
TI - Homomorphisms on algebras of Lipschitz functions
JO - Studia Mathematica
PY - 2010
VL - 199
IS - 1
SP - 95
EP - 106
AB - We characterize a class of *-homomorphisms on Lip⁎(X,𝓑(𝓗 )), a non-commutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in 𝓑(𝓗 ). We show that the zero map is the only multiplicative *-preserving linear functional on Lip⁎(X,𝓑(𝓗 )). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip⁎(X,𝓑(𝓗 )).
LA - eng
KW - Banach *-algebras of Lipschitz functions; *-homomorphisms; *-isomorphisms; algebraic reflexivity
UR - http://eudml.org/doc/285910
ER -