The strongest Banach–Stone theorem for C0(K,ℓ22)$C_{0}(K, \ell _2^2)$ spaces
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.202300321
Abstract: As usual denote by ℓ22$\ell _2^2$ the real two‐dimensional Hilbert space. We prove that if K$K$ and S$S$ are locally compact Hausdorff spaces and T$T$ is a linear isomorphism from C0(K,ℓ22)$C_{0}(K,\ell _2^2)$ onto C0(S,ℓ22)$C_{0}(S,\ell _2^2)$… read more here.
Keywords: ell; vert vert; stone theorem; vert ... See more keywords
Banach–Stone theorems for spaces of vector bundle continuous sections
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2017.01.023
Abstract: Abstract We prove Banach–Stone type theorems for linear isometries on spaces of continuous sections of Banach space bundles. These extend a previous result for vector-valued continuous function spaces. Two common methods, examining the extreme point… read more here.
Keywords: theorems spaces; continuous sections; stone theorems; banach stone ... See more keywords