Geodesic
On vector lattice-valued measures. I
Mathematica slovaca, Tome 33 (1983) no. 3, pp. 269-292
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 28B05, 28B15 
@article{MASLO_1983_33_3_a3,
     author = {Panchapagesan, Thiruvaiyaru V. and Palled, Shivappa Veerappa},
     title = {On vector lattice-valued measures. {I}},
     journal = {Mathematica slovaca},
     pages = {269--292},
     year = {1983},
     volume = {33},
     number = {3},
     mrnumber = {713950},
     zbl = {0528.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1983_33_3_a3/}
}
TY  - JOUR
AU  - Panchapagesan, Thiruvaiyaru V.
AU  - Palled, Shivappa Veerappa
TI  - On vector lattice-valued measures. I
JO  - Mathematica slovaca
PY  - 1983
SP  - 269
EP  - 292
VL  - 33
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_1983_33_3_a3/
LA  - en
ID  - MASLO_1983_33_3_a3
ER  - 
%0 Journal Article
%A Panchapagesan, Thiruvaiyaru V.
%A Palled, Shivappa Veerappa
%T On vector lattice-valued measures. I
%J Mathematica slovaca
%D 1983
%P 269-292
%V 33
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_1983_33_3_a3/
%G en
%F MASLO_1983_33_3_a3
Panchapagesan, Thiruvaiyaru V.; Palled, Shivappa Veerappa. On vector lattice-valued measures. I. Mathematica slovaca, Tome 33 (1983) no. 3, pp. 269-292. http://geodesic.mathdoc.fr/item/MASLO_1983_33_3_a3/

[1] BADE W. G.: On Boolean algebras of projections and algebras of operators. Trans. Amer. Math. Soc, 80, 1955, 345-360. | MR | Zbl

[2] BERBERIAN S. K.: Notes on Spectral Theory. D. Van Nostrand, Princeton, N. J , 1966. | MR | Zbl

[3] BESSAGA C., PELCZYŃSKI A.: On bases and unconditional convergence of series in Banach spaces. Studia Math, 17, 1958, 151-163. | MR | Zbl

[4] FREMLIN D. H.: A direct proof of the Matthes-Wright integral extension theorem. J. London Math. Soc., 11, 1975, 276-284. | MR | Zbl

[5] HALMOS P. R.: Measure Theory. D. Van Nostrand, New York 1950 | MR | Zbl

[6] KADISON R. V.: A representation Theory for Commutative Topological Algebra. Memoirs Amer. Math. Soc., 7, 1951. | MR | Zbl

[7] KELLEY J. L.: General Topology. D. Van Nostrand, New York, 1955. | MR | Zbl

[8] KLUVÁNEK I.: The extension and closure of vector measure. Proceedings of the conference on vector and Operator-valued measures. Snowbird, Utah, Academic Press, 1973, 175-190. | MR | Zbl

[9] LUMER G.: Semi-inner-product spaces. Trans. Amer. Math. Soc. 100, 1961, 29-43. | MR | Zbl

[10] MATTHES K.: Über die Ausdehnung positiver linearer Abbildungen. Math. Nachr., 23, 1961, 223-257. | MR | Zbl

[11] PANCHAPAGESAN T. V.: Semi-groups of scalar type operators in Banach spaces. Pacific J. Math., 30, 1969, 489-517. | MR | Zbl

[12] PANCHAPAGESAN T. V.: Extension of spectral measures. Illinois J. Math. 16, 1972, 130-142. | MR | Zbl

[13] PANCHAPAGESAN T. V., SHIVAPPA VEERAPPA PALLED: A generalized spectral mapping theorem. J. Madras Univ. 41(2) B(1978) 46-53. | MR

[14] PANCHAPAGESAN T. V., SHIVAPPA VEERAPPA PALLED: On vector lattice-valued measures - III. (communicated).

[15] VULIKH B. Z.: Introduction to the Theory of Partially Ordered Spaces. Wolters-Noordhoff Scientific Publications Ltd., Groningen 1967. | MR | Zbl

[16] WRIGHT J. D. M.: Stone-algebra-valued measures and integrals. Proc. London Math. Soc., 19, 1969, 107-122. | MR | Zbl

[17] WRIGHT J. D. M.: Vector lattice measures on locally compact spaces. Math. Z., 120, 1971, 193-203. | MR | Zbl

[18] WRIGHT J. D. M.: The measure extension problem for vector lattices. Annales de l'Institut Fourier, Grenoble, 21, 4 1971, 65-85. | MR | Zbl

[19] WRIGHT J. D. M.: Extension of infinite vector lattice measures. The Quarterly J. Math., 23, 1972, 259-265. | MR

[20] WRIGHT J. D. M.: An algebraic characterization of vector lattices with the Borel regularity property. J. London Math. Soc, 7, 1973, 277-285. | MR | Zbl

[21] MATTHES K.: Über eine Schar von Regularitätsbedingungen fur Verbande. Math, Nachr., 22, 1960, 93-128. | MR

[22] RIEČAN B.: On the extension of operators with values in semiordered spaces. (Russian), Čas. Pěst. Mat., 93, 1968, 459-471. | MR

[23] VOLAUF P.: Extension and regularity of l-group valued measures. Math. Slovaca, 27, 1977, 47-53. | MR