Free complex Banach lattices
نویسندگان
چکیده
The construction of the free Banach lattice generated by a real space is extended to complex setting. It shown that for every E there FBLC[E] containing linear isometric copy and satisfying following universal property: XC, operator T:E→XC admits unique homomorphic extension Tˆ:FBLC[E]→XC with ‖Tˆ‖=‖T‖. have analogous properties those its counterpart. However, examples non-isomorphic spaces F can be given so FBLC[F] are isometric. spectral theory induced homomorphisms on also explored.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.109888