Homomorphisms on algebras of Lipschitz functions

• Autorzy: Fernanda Botelho , James Jamison
• Języki publikacji: EN

Abstrakty

EN

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 )).

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 46H10: Ideals and subalgebras
• 47L10: Algebras of operators on Banach spaces and other topological linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 199
• Numer: 1
• Strony: 95-106

Daty

wydano

2010

Twórcy

autor

Fernanda Botelho

• Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A.

autor

James Jamison

• Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A.

Identyfikatory

DOI

10.4064/sm199-1-6