Canonical embedding of function spaces into the topological bidual of {$C(K;E)$} | Zendy

E. N. Ngimbi | Zendy

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Canonical embedding of function spaces into the topological bidual of {$C(K;E)$}

Author(s) -

E. N. Ngimbi

Publication year - 1996

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1105540758

Subject(s) - embedding , mathematics , function (biology) , topology (electrical circuits) , pure mathematics , combinatorics , computer science , artificial intelligence , biology , evolutionary biology

Let K be a Hausdor compact space and E be a real Banach lattice with order continuous norm. In this paper, we essentially prove the existence of canonical embeddings of (vector) sublattices of FB(K;E), the Banach lattice of E valued bounded functions on K ,i nto the topological bidual of C(K;E), the usual Banach lattice of E valued continuous functions on K. This is related and extends some results in the real case of H. H. Schaefer ( [14], [15]).

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