Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/representations-of-archimedean-riesz-spaces-by-continuous-functions-fNsaKXAkIr
References (39)
-
A.C. Zaanen (1983)
Riesz Spaces II -
H.F. Bohnenblust, S. Kakutani (1941)
Concrete representations of (M)-spacesAnn. Math., 42
-
T. Ogasawara (1944)
Theory of vector lattices IIJ. Sci. Hiroshima Univ., 13
-
H. Nakano (1942)
Stetige lineare Funktionale auf dem teilweisgeordneten ModulJ. Fac. Sci. Imp. Univ. Tokyo, 4
-
S. Kakutani (1941)
Concrete representations of abstract M-spacesAnn. Math., 42
-
H. Nakano (1942)
Über die Charakterisierung des allgemeinen C-Raumes IIProc. Imp. Acad. Tokyo, 18
-
J.T. Marti (1970)
Topological representations of abstract L p -spacesMath. Ann., 185
-
H.F. Bohnenblust (1940)
On axiomatic characterisation of L p spacesDuke Math. J., 6
-
A. Goullet de Rugy (1972)
La structure ideale des M-espacesJ. Maths. Pures et Appl., 51
-
H. Nakano (1941)
Über das System aller stetiger Funktionen auf ein topologischen RaumProc. Imp. Acad. Tokyo, 17
-
M. Meyer (1973/4)
Representations des espaces vectoriels réticulésSeminaire Choquet, 13
-
Y.A. Abramovich, A.I. Veksler, A.V. Koldunov (1979)
On operators preserving disjointnessSoviet Math. Dokl., 20
-
D.H. Fremlin (1967)
Abstract Kothe spaces IIProc. Cam. Phil. Soc., 63
-
A.W. Wickstead (1977)
Representation and duality of multiplication operators on Archimedean Riesz spacesCompositio Math., 35
-
E.B. Davies (1968)
The structure and ideal theory of the predual of a Banach latticeTrans. Amer. Math. Soc., 131
-
R.J. Nagel (1973)
Ordnungstetigkeit in BanachverbändenManuscripta Math, 9
-
S.J. Bernau (1965)
Unique representation of Archimedean lattice groups and normal Archimedean lattice ringsProc. London Math. Soc., 15
-
H.H. Schaefer (1972)
On the representation of Banach lattices by continuous numerical functionsMath. Z., 125
-
M. Krein, S. Krein (1940)
On an inner characterisation of the set of all continuous functions defined on a bicompact Hausdorff spaceC.R. Acad. Sci. URSS, 27
-
E.B. Davies (1969)
The Choquet theory and representation of ordered Banach spacesIllinois J. Math., 13
-
S.J. Bernau (1973)
A note on L p -spacesMath. Ann., 200
-
L.V. Kantorovich, B.Z. Vulikh, A.G. Pinsker (1950)
Functional Analysis in Partially Ordered Spaces (Russian) -
F. Maeda, T. Ogasawara (1942)
Representation of vector latticesJ. Sci. Hiroshima Univ., 12
-
S.J. Bernau (1979)
Orthomorphisms of Archimedean vector latticesProc. Camb. Phil. Soc., 89
-
B.Z. Vulikh, G.Y. Lozanovskii (1971)
On representation of order continuous and regular functionals on partially ordered spaces (Russian)Mat. Sbornik, 84
-
P.T.N. McPolin, A.W. Wickstead (1985)
The order boundedness of band preserving operators on uniformly complete vector latticesMath. Proc. Cam. Phil. Soc., 97
-
H.H. Schaefer (1974)
Banach Lattices and Positive Operators -
B.Z. Vulikh (1947)
Concrete representation of partially ordered linear spaces (Russian)Doklady Akad. Nauk USSR, 58
-
R.J. Nagel (1972)
Darstellung von Verbandsoperatoren auf BanachverbändenRev. Acad. Ci. Zaragoza, 27
-
J. Bretagnolle, D. Dacunha-Castelle, J.L. Krivine (1965/6)
Lois stables et espaces L pAnn. Inst. H. Poincare, 2
-
B.Z. Vulikh (1953)
Some topics in the theory of partially ordered linear spaces (Russian)Izvestia AN USSR ser. math., 17
-
K. Yosida (1941/2)
On vector lattice with a unitProc. Imp. Acad. Tokyo, 18
-
H.E. Lacey, S.J. Bernau (1974)
Characterisations and classifications of some classical Banach spacesAdv. in Math., 12
-
R.J. Nagel (1973)
A Stone-Weierstrass theorem for Banach latticesStudia Math., 47
-
R. Haydon (1977)
Injective Banach latticesMath. Z, 156
-
S. Kakutani (1941)
Concrete representation of abstract L-spaces and the mean ergodic theoremAnn. Math., 42
-
A. Goullet de Rugy (1971)
La théorie des cônes biréticulésAnn. Inst. Fourier (Grenoble), 21
-
H. Gordon (1960)
Measures defined by abstract L p spacesPacific J. Math., 10
-
B.Z. Vulikh (1951)
On concrete representation of partially ordered lineals (Russian)Doklady Akad. Nauk USSR, 78
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00046643
- Publisher site
- See Article on Publisher Site
Abstract
A brief survey of representations of Archimedean Riesz spaces in spaces of continuous extended real-valued functions, together with an example of their use in proving results about Riesz spaces
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: May 1, 2004