On Vector Lattice-Valued Measures
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 499-504
Voir la notice de l'article provenant de la source Cambridge University Press
E. Hewitt [1] used the Daniell approach to define a real-valued measure function on a σ-algebra of the real line. He began by defining an arbitrary non-negative linear functional I on L∞ ∞(R), (the space of all complex-valued continuous functions on the real line R which vanish off some compact subset of R).
Hrycay, R. On Vector Lattice-Valued Measures. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 499-504. doi: 10.4153/CMB-1965-036-7
@article{10_4153_CMB_1965_036_7,
author = {Hrycay, R.},
title = {On {Vector} {Lattice-Valued} {Measures}},
journal = {Canadian mathematical bulletin},
pages = {499--504},
year = {1965},
volume = {8},
number = {4},
doi = {10.4153/CMB-1965-036-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-036-7/}
}
[1] 1. Hewitt, Edwin, Theory of Functions of a Real Variable (Preliminary Edition), Holt, Rinehart and Winston, New York, (1960). Google Scholar
[2] 2. Naimark, M.A., Normed Rings, Translated from the first Russian Edition by Leo F. Boron, P. Noordhoff, N. V. -- Groningen, The Netherlands, (1959). Google Scholar
[3] 3. Birkhoff, Garrett, Lattice Theory, American Mathematical Society Colloquium Publications, Volume XXV, (1960). Google Scholar
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