Geodesic
L p Spaces from Matrix Measures: A Correction and their Interpolation
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 137-143

Voir la notice de l'article provenant de la source Cambridge University Press

We discuss the construction of the spaces L p (μ ij ), 1 ≤ p ≤ ∞, where {μ ij } is an n × n positive matrix measure, correct a mistake in the literature concerning those spaces and develop an interpolation theory for them.
DOI : 10.4153/CMB-1983-022-x
Mots-clés : 46E30 
Browne, Patrick J.; Costa, Claude. L p Spaces from Matrix Measures: A Correction and their Interpolation. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 137-143. doi: 10.4153/CMB-1983-022-x
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     title = {L p {Spaces} from {Matrix} {Measures:} {A} {Correction} and their {Interpolation}},
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     year = {1983},
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     doi = {10.4153/CMB-1983-022-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-022-x/}
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[1] 1. Bergh, J. and Löfström, J., Interpolation Spaces, Springer-Verlag, , New York, 1976. Google Scholar

[2] 2. Binding, P. and Browne, P. J., Lp spaces from matrix measures, Canad. Math. Bull, 18, (1975), 19–26. Google Scholar

[3] 3. Costa, C., Interpolation of Matrix Measure Function Spaces, M.Sc. Thesis, University of Calgary, 1981. Google Scholar

[4] 4. Dunford, N. and Schwartz, J. T., Linear Operators, Part II, Wiley-Interscience, New York, 1963. Google Scholar

[5] 5. Triebel, H., Interpolation Theory, Function Spaces, Differential Operators, North Holland, New York, 1978. Google Scholar

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