LP Spaces from Matrix Measures

Paul Binding, Patrick J. Browne · Canadian Mathematical Bulletin · 1975

It is known that a Hilbert space, L2(μij), can be constructed from an n × n positive matrix measure (μij), [5, pp. 1337–1346]. The aim of this note is to show that Banach spaces, corresponding to the usual LP spaces, can also be constructed and to investigate their properties.

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