Abstract

ABSTRACT This paper deals with hermitian operators and surjective linear isometries, between spaces of Lipschitz maps, defined on a compact metric space, with values in a finite dimensional vector space. These spaces are endowed with the sum norm. The first main result formulates that hermitian operators are composition operators (Theorem 2.2) and the second one (Theorem 3.3) gives a characterization for the surjective unital linear isometries between Banach algebras of Lipschitz maps with values in .

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.