The Banach space of workable contingent claims in arbitrage theory
Delbaen, Freddy ; Schachermayer, Walter
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997), p. 113-144 / Harvested from Numdam
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Publié le : 1997-01-01
@article{AIHPB_1997__33_1_113_0,
     author = {Delbaen, Freddy and Schachermayer, Walter},
     title = {The Banach space of workable contingent claims in arbitrage theory},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {33},
     year = {1997},
     pages = {113-144},
     mrnumber = {1440258},
     zbl = {0872.90008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_1_113_0}
}

Delbaen, Freddy; Schachermayer, Walter. The Banach space of workable contingent claims in arbitrage theory. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 113-144. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_1_113_0/

[1] J.P. Ansel and C. Stricker, Couverture des actifs contingents, Ann. Inst. Henri Poincaré, Vol. 30, 1994, pp. 303-315. | Numdam | MR 1277002 | Zbl 0796.60056

[2] F. Delbaen and W. Schachermayer, A General Version of the Fundamental Theorem of Asset Pricing, Mathematische Annalen, Vol. 300, 1994, pp. 463-520. | MR 1304434 | Zbl 0865.90014

[3] F. Delbaen and W. Schachermayer, A simple counter-example to several problems in the theory of asset pricing, which arises generically in incomplete markets, to appear in Mathematical Finance, 1997. | Zbl 0910.60038

[4] F. Delbaen and W. Schachermayer, The No-Arbitrage Property under a Change of Nu-méraire, Stochastics and Stochastic Reports, Vol. 53, 1995, pp. 213-226. | MR 1381678 | Zbl 0857.90007

[5] F. Delbaen and W. Schachermayer, Arbitrage and Free Lunch with Bounded Risk for Unbounded Continuous Processes, Mathematical Finance, Vol. 4, 1994, pp. 343-348 | Zbl 0884.90024

[6] F. Delbaen and H. Shirakawa, A Note on the No Arbitrage Condition for International Financial Markets, to appear in Financial Engineering and the Japanese Markets, 1997.

[7] N. Dunford and J. Schwartz, Linear Operators, Vol. I, Interscience, 1958. | MR 117523 | Zbl 0084.10402

[8] M. Emery, Compensation de processus non localement intégrables, Séminaire de Probabilités XIV, Lecture Notes in Mathematics, Vol. 784, 1980, pp. 152-160. | Numdam | MR 580120 | Zbl 0428.60054

[9] M. Harrison and D. Kreps, Martingales and Arbitrage in Multiperiod Security Markets. Journal of Economic Theory, 1979, Vol. 20, pp. 381-408. | MR 540823 | Zbl 0431.90019

[10] M. Harrison and S. Pliska, Martingales and Stochastic Integrals in the Theory of Continuous Trading, Stochastic Processes and their Applications, Vol. 11, 1981, pp. 215-260. | MR 622165 | Zbl 0482.60097

[11] J. Jacod, Calcul stochastique et problèmes de martingale, Springer Verlag Berlin, Heidelberg, New York, 1979. | MR 542115 | Zbl 0414.60053

[12] D. Kreps, Arbitrage and Equilibrium in Economies with Infinitely Many Commodities J. of Math. Econ., Vol. 8, 1981, pp. 15-35. | MR 611252 | Zbl 0454.90010

[13] Ph. Protter, Stochastic Integration and Differential Equations, a New Approach, Springer Verlag Berlin, Heidelberg, New York, 1990 | MR 1037262 | Zbl 0694.60047

[14] W. Schachermayer, A Counterexample to Several Problems in the Theory of Asset Pricing, Mathematical Finance, Vol. 3, 1993, pp. 217-230 | Zbl 0884.90050