We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
LOCAL ISOMETRIES ON SUBSPACES AND SUBALGEBRAS OF FUNCTION SPACES.
- Authors
BAKER, ABDULLAH BIN ABU; MAURYA, RAHUL
- Abstract
Let K denotes the field of real or complex numbers. For a locally compact Hausdorff space X, we denote by C0(X) the space of all K-valued continuous functions on X vanishing at infinity. Let E be a (real or complex) Banach space, KE be a closed subset of E, and Cu(KE) be the algebra of all real or complex valued, uniformly continuous bounded functions defined on KE. Endowed with the supremum norm, both C0(X) and Cu(KE) are Banach spaces. In this paper we study the structure of local isometries on subspaces of C0(X) and various subalgebras of Cu(KE).
- Subjects
ISOMETRICS (Mathematics); SUBSPACES (Mathematics); FUNCTION spaces; HAUSDORFF spaces; BANACH spaces
- Publication
Operators & Matrices, 2022, Vol 16, Issue 1, p11
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2022-16-02