LP Spaces from Matrix Measures
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 19-25
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It is known that a Hilbert space, L 2(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.
Binding, P.; Browne, P. J. LP Spaces from Matrix Measures. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 19-25. doi: 10.4153/CMB-1975-003-8
@article{10_4153_CMB_1975_003_8,
author = {Binding, P. and Browne, P. J.},
title = {LP {Spaces} from {Matrix} {Measures}},
journal = {Canadian mathematical bulletin},
pages = {19--25},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-003-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-003-8/}
}
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