Geodesic
Integration of vector-valued functions with respect to an operator-valued measure
Czechoslovak Mathematical Journal, Tome 36 (1986) no. 2, pp. 198-209
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1986.102084
Classification : 28B05, 46G10, 47B38 
@article{10_21136_CMJ_1986_102084,
     author = {Roy, S. K. and Chakraborty, N. D.},
     title = {Integration of vector-valued functions with respect to an operator-valued measure},
     journal = {Czechoslovak Mathematical Journal},
     pages = {198--209},
     year = {1986},
     volume = {36},
     number = {2},
     doi = {10.21136/CMJ.1986.102084},
     mrnumber = {831308},
     zbl = {0611.28004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102084/}
}
TY  - JOUR
AU  - Roy, S. K.
AU  - Chakraborty, N. D.
TI  - Integration of vector-valued functions with respect to an operator-valued measure
JO  - Czechoslovak Mathematical Journal
PY  - 1986
SP  - 198
EP  - 209
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102084/
DO  - 10.21136/CMJ.1986.102084
LA  - en
ID  - 10_21136_CMJ_1986_102084
ER  - 
%0 Journal Article
%A Roy, S. K.
%A Chakraborty, N. D.
%T Integration of vector-valued functions with respect to an operator-valued measure
%J Czechoslovak Mathematical Journal
%D 1986
%P 198-209
%V 36
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102084/
%R 10.21136/CMJ.1986.102084
%G en
%F 10_21136_CMJ_1986_102084
Roy, S. K.; Chakraborty, N. D. Integration of vector-valued functions with respect to an operator-valued measure. Czechoslovak Mathematical Journal, Tome 36 (1986) no. 2, pp. 198-209. doi: 10.21136/CMJ.1986.102084

[1] R. G. Bartle N. Dunford, J. Schwartz: Weak compactness and vector measures. Canad. J. Math. 7 (1955), 289-305. | DOI | MR

[2] J. K. Brooks, P. W. Lewis: Linear operators and vector measures. Trans. Amer. Math. Soc. 192 (1974), 139-162. | DOI | MR

[3] С. Debieve: Integration of vector valued functions with respect to vector valued measures. Rev. Roum. Math. Pures Appl. 26, 7 (1981), 943-957. | MR | Zbl

[4] N. Dinculeanu: Vector Measures. VEB Deutscher Verlag Der Wissenschaften, Berlin, 1967. | MR

[5] I. Dobrakov: On integration in Banach spaces I. Czech Math. J., 20, 95 (1970), 511 - 536. | MR | Zbl

[6] I. Dobrakov: On representation of linear Operators on $C_0 (T, X)$. Czech. Math. J. 27, 96 (1971), 13-30. | MR

[7] N. Dunford, J. Schwartz: Linear Operators. Part I, Interscience Publishers, INC, New York, 1958. | MR | Zbl

[8] R. E. Edwards: Functional Analysis. Holt, Rinehart and Winston, New York, 1965. | MR | Zbl

[9] G. G. Gould: Integration over vector measures. Proc. Lond. Math. Soc., 15 (1965), 193 - 225. | DOI | MR

[10] J. Horvath: Topological Vector Spaces and Distributions. Vol. I, Addison-Wesley Publishing Company, Massachusetts, 1966. | MR | Zbl

[11] A. De. Korvin, L. Kunes: Some non-weak integrals defined by linear functionals. Quart. J. Math. (Oxford), 24, 95 (1973), 289-299. | DOI | MR | Zbl

[12] D. R. Lewis: Integration with respect to vector measures. Pacific J. Math. 33 (1970), 157-165. | DOI | MR | Zbl

[13] D. R. Lewis: On integrability and summability in vector spaces. Illinois J. Math. 16 (1972), 294-307. | DOI | MR | Zbl

[14] H. H. Schaefer: Topological Vector Spaces. The Macmillan Company, New York, 1966. | MR | Zbl

[15] С. Swartz: Integrability for the Dobrakov integral. Czech. Math. J. 30, 105 (1980), 640-646. | MR | Zbl

Cité par Sources :