Finite-dimensional lattice-subspaces of C(Ω) and curves of ℝn

Transactions of the American Mathematical Society

Volumn 348, Issue 7, 1996, Pages 2793-2810

  Polyrakis, Ioannis A ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344455048     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01639-x     Document Type: Article

References (13)

1. Y. A. Abramovich, C. D. Aliprantis and I. A. Polyrakis, Lattice-subspaces and positive projections, Proc. Roy. Irish Acad., 94A (1994), 237-253.
2. C. D. Aliprantis and K. C. Border, Infinite dimensional analysis: A hitchhickers guide, Studies in Economic Theory, #4, Springer-Verlag, New York and Heidelberg, 1994.
3. C. D. Aliprantis and O. Burkinshaw, Positive operators, Academic Press, New York and London, 1985. MR 87h:47086
4. P. Henrotte, Existence and optimality of equilibria in markets with tradable derivative securities, Stanford Institute for Theoretical Economics, Technical Report, No. 48, 1992.
5. _, Three essays in financial economics, Ph.D. Dissertation, Department of Economics, Standford University, 1993.
6. G. J. O. Jameson, Ordered linear spaces, Lecture Notes in Math., vol. 141, Springer-Verlag, Heidelberg and New York, 1970. MR 55:10996
7. D. G. Kendall, Simplexes and vector lattices, J. London Math. Soc. 37 (1962), 365-371. MR 25:2423
8. S. Miyajima, Structure of Banach quasisublattices, Hokkaido Math. J. 12 (1983), 83-91. MR 84g:46033
9. A. Peressini, Ordered topological vector spaces, Harper & Row, New York, 1967. MR 37:3315
10. 1, Math. Proc. Cambridge Philos. Soc. 94 (1983), 519-522. MR 85f:46042
11. _, Schauder bases in locally solid lattice Banach spaces, Math. Proc. Cambridge Philos. Soc. 101 (1987), 91-105. MR 89b:46020
12. _, Lattice-subspaces of C[0,1] and positive bases, J. Math. Anal. Appl. 184 (1994), 1-18. MR 95g:46040
13. I. Singer, Bases in Banach spaces. I, Springer-Verlag, Berlin and New York, 1970. MR 45:7451