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Grothendieck Measures
Author(s) -
Khurana Surjit Singh,
Othman Sadoon Ibrahim
Publication year - 1989
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-39.3.481
Subject(s) - mathematics , hausdorff space , continuous functions on a compact hausdorff space , space (punctuation) , normed vector space , topology (electrical circuits) , scalar (mathematics) , pure mathematics , discrete mathematics , combinatorics , computer science , geometry , operating system
For a completely regular Hausdorff space X and E a normed space we denote by C b ( X, E ) (respectively C b ( X )) the space of all E ‐valued (respectively scalar‐valued) continuous functions on X . A topology is defined on C b ( X ) which gives as its dual M g ( X ) the space of all Grothendieck measures. Many properties of this topology are proved and some of these results are extended to C b ( X, E ).