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Banach spaces of Lipschitz functions and vector-valued Lipschitz functions
Author:
J. A. Johnson
Journal:
Bull. Amer. Math. Soc. 75 (1969), 1334-1338
MathSciNet review:
0250048
Full-text PDF
References |
Additional Information
- 1.
Richard
F. Arens and James
Eells Jr., On embedding uniform and topological spaces,
Pacific J. Math. 6 (1956), 397–403. MR 0081458
(18,406e)
- 2.
Z.
Ciesielski, On the isomorphisms of the spaces 𝐻_{𝛼}
and 𝑚, Bull. Acad. Polon. Sci. Sér. Sci. Math.
Astronom. Phys. 8 (1960), 217–222 (English, with
Russian summary). MR 0132389
(24 #A2234)
- 3.
K.
de Leeuw, Banach spaces of Lipschitz functions, Studia Math.
21 (1961/1962), 55–66. MR 0140927
(25 #4341)
- 4.
J.
Dixmier, Sur un théorème de Banach, Duke Math.
J. 15 (1948), 1057–1071 (French). MR 0027440
(10,306g)
- 5.
Jesús
Gil de Lamadrid, Measures and tensors, Trans. Amer. Math. Soc. 114 (1965), 98–121. MR 0179604
(31 #3851), http://dx.doi.org/10.1090/S0002-9947-1965-0179604-3
- 6.
T. M. Jenkins, Banach spaces of Lipschitz functions on an abstract metric space, Thesis, Yale University, New Haven, Ct. 1967.
- 7.
Robert
R. Phelps, Lectures on Choquet’s theorem, D. Van
Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0193470
(33 #1690)
- 8.
Ashoke
K. Roy, Extreme points and linear isometries of the Banach space of
Lipschitz functions, Canad. J. Math. 20 (1968),
1150–1164. MR 0236685
(38 #4980)
- 9.
Helmut
H. Schaefer, Topological vector spaces, The Macmillan Co., New
York, 1966. MR
0193469 (33 #1689)
- 10.
Robert
Schatten, A Theory of Cross-Spaces, Annals of Mathematics
Studies, no. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935
(12,186e)
- 1.
- R. Arens and J. Eells, Jr., On embedding uniform and topological spaces, Pacific J. Math. 6 (1956), 397-403. MR 81458
- 2.
- Z. Ciesielski, On the isomorphism of the spaces H, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. 8 (1960), 217-222. MR 132389
- 3.
- K. de Leeuw, Banach spaces of Lipschitz functions, Studia Math. 21 (1961), 55-66. MR 140927
- 4.
- J. Dixmier, Sur un théorème de Banach, Duke Math. J. 15 (1948), 1057-1071. MR 27440
- 5.
- J. Gil de Lamadrid, Measures and tensors, Trans. Amer. Math. Soc. 114 (1965), 98-121. MR 179604
- 6.
- T. M. Jenkins, Banach spaces of Lipschitz functions on an abstract metric space, Thesis, Yale University, New Haven, Ct. 1967.
- 7.
- R. Phelps, Lectures on Choquet's theorem, Van Nostrand, Princeton, N. J., 1966. MR 193470
- 8.
- A. Roy, Extreme points and linear isometries of the Banach space of Lipschitz functions, Canad. J. Math. 20 (1968), 1150-1164. MR 236685
- 9.
- H. Schaefer, Topological vector spaces, Macmillan, New York, 1966. MR 193469
- 10.
- R. Schatten, A theory of cross-spaces, Ann. of Math. Studies, No. 26, Princeton Univ. Press, Princeton, N. J., 1950. MR 36935
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12417-1
PII:
S 0002-9904(1969)12417-1
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