@article{ASCFPA_1986__88_5_49_0, author = {d. Quang Luu}, title = {Absolutely summing operators and measure amarts in {Fr\'echet} spaces}, journal = {Annales scientifiques de l'Universit\'e de Clermont-Ferrand 2. S\'erie Probabilit\'es et applications}, pages = {49--71}, publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont}, volume = {88}, number = {5}, year = {1986}, zbl = {0626.47027}, mrnumber = {872121}, language = {en}, url = {http://www.numdam.org/item/ASCFPA_1986__88_5_49_0/} }
TY - JOUR AU - d. Quang Luu TI - Absolutely summing operators and measure amarts in Fréchet spaces JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications PY - 1986 DA - 1986/// SP - 49 EP - 71 VL - 88 IS - 5 PB - UER de Sciences exactes et naturelles de l'Université de Clermont UR - http://www.numdam.org/item/ASCFPA_1986__88_5_49_0/ UR - https://zbmath.org/?q=an%3A0626.47027 UR - https://www.ams.org/mathscinet-getitem?mr=872121 LA - en ID - ASCFPA_1986__88_5_49_0 ER -
d. Quang Luu. Absolutely summing operators and measure amarts in Fréchet spaces. Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications, Tome 88 (1986) no. 5, pp. 49-71. http://www.numdam.org/item/ASCFPA_1986__88_5_49_0/
[1] On vector-valued asymptotic martingales. Proc. Nat. Acad. Sci. USA 13, 6(1976) p. 1798-1799. | MR 407966 | Zbl 0366.60067
[2] Les amarts uniformes. C.R. Acad. Sci. Paris, t. 284, Sér. A (1977) p. 1295-1298. | MR 445602 | Zbl 0359.60047
[3] Locally convex spaces with Radon-Nikodym property. Math. Nachr. 114 (1983) 335-341. | MR 745066 | Zbl 0557.46015
[4] Sur l'espérance des variables aléatoires vectorielles. Ann. Inst. Henri Poincaré, Vol. 16, N° 3 (1980) 177-196. | Numdam | MR 595198 | Zbl 0472.60010
-[5] On convergence of vector-valued asymptotic martingales. Z. Wahrsch. Verw. 33 (1975) 55-59. | MR 394859 | Zbl 0297.60005
-[6] A geometric characterization of Fréchet spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 48, N° 2 (1975) 371-380. | MR 357730 | Zbl 0301.46031
[7] On the Radon-Nikodym theorem and locally convex spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 62, N° 2 (1977) 245-252. | MR 435338 | Zbl 0348.46033
[8] Stability and convergence of amarts in Fréchet spaces. Acta Math. Acad. Sci. Hungaricae Vol. 45/1-2 (1985) to appear. | MR 779522 | Zbl 0655.46003
[9] The Radon-Nikodym property and convergence of amarts in Fréchet spaces. Ann. Inst. Clermont N° 3 (to appear). | Numdam | Zbl 0568.60045
[10] Amarts: a class of asymptotic martingales (Discrete parameter). J. Multiv. Anal. 6(1976) 193-221. | MR 413251 | Zbl 0336.60033
-[11] On vector-valued amarts and dimension of Banach spaces. Z. Wahrsch. Verw. 39 (1977) 213-216. | MR 448537 | Zbl 0364.60075
-[12] Characterizations of nuclearity in Fréchet spaces. J. Funct. Anal. 35, 2(1980) 207-214. | MR 561986 | Zbl 0422.46001
[13] Weak and strong convergence of amarts in Fréchet spaces. J. Multiv. Anal. (1982) 291-305. | MR 661565 | Zbl 0485.60003
[14] Summability and vector amarts. J. Multiv. Anal. 9 (1979) 173-178. | MR 530649 | Zbl 0407.60043
[15] Martingales à temps discret. Masson et Cie, Paris 1972. | MR 402914
[ 16] Nuclear locally convex spaces, Springer-Verlag, Berlin 1972. | MR 350360
[17] On the Radon-Nikodym property in a class of locally convex spaces. Pacific J. Math. 75, 1 (1978) 281-291. | MR 500045 | Zbl 0374.46002
[18] Jr. Pettis mean convergence of vector-valued asymptotic martingales. Z. Wahrsch. Verw. 37(1977) 291-295. | MR 571670 | Zbl 0325.60046
[19] Functional Analysis. Springer-Verlag, Berlin, Göttingen, Heidelberg 1965. | Zbl 0126.11504