| Title:
|
Integration of vector-valued functions with respect to an operator-valued measure (English) |
| Author:
|
Roy, S. K. |
| Author:
|
Chakraborty, N. D. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1986 |
| Pages:
|
198-209 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B05 |
| MSC:
|
46G10 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 0611.28004 |
| idMR:
|
MR831308 |
| DOI:
|
10.21136/CMJ.1986.102084 |
| . |
| Date available:
|
2008-06-09T15:10:03Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102084 |
| . |
| Reference:
|
[1] R. G. Bartle N. Dunford, J. Schwartz: Weak compactness and vector measures.Canad. J. Math. 7 (1955), 289-305. MR 0070050, 10.4153/CJM-1955-032-1 |
| Reference:
|
[2] J. K. Brooks, P. W. Lewis: Linear operators and vector measures.Trans. Amer. Math. Soc. 192 (1974), 139-162. MR 0338821, 10.1090/S0002-9947-1974-0338821-5 |
| Reference:
|
[3] С. Debieve: Integration of vector valued functions with respect to vector valued measures.Rev. Roum. Math. Pures Appl. 26, 7 (1981), 943-957. Zbl 0463.46038, MR 0627463 |
| Reference:
|
[4] N. Dinculeanu: Vector Measures.VEB Deutscher Verlag Der Wissenschaften, Berlin, 1967. MR 0206190 |
| Reference:
|
[5] I. Dobrakov: On integration in Banach spaces I.Czech Math. J., 20, 95 (1970), 511 - 536. Zbl 0215.20103, MR 0365138 |
| Reference:
|
[6] I. Dobrakov: On representation of linear Operators on $C_0 (T, X)$.Czech. Math. J. 27, 96 (1971), 13-30. MR 0276804 |
| Reference:
|
[7] N. Dunford, J. Schwartz: Linear Operators.Part I, Interscience Publishers, INC, New York, 1958. Zbl 0084.10402, MR 0117523 |
| Reference:
|
[8] R. E. Edwards: Functional Analysis.Holt, Rinehart and Winston, New York, 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[9] G. G. Gould: Integration over vector measures.Proc. Lond. Math. Soc., 15 (1965), 193 - 225. MR 0174694, 10.1112/plms/s3-15.1.193 |
| Reference:
|
[10] J. Horvath: Topological Vector Spaces and Distributions.Vol. I, Addison-Wesley Publishing Company, Massachusetts, 1966. Zbl 0143.15101, MR 0205028 |
| Reference:
|
[11] A. De. Korvin, L. Kunes: Some non-weak integrals defined by linear functionals.Quart. J. Math. (Oxford), 24, 95 (1973), 289-299. Zbl 0262.28008, MR 0360988, 10.1093/qmath/24.1.289 |
| Reference:
|
[12] D. R. Lewis: Integration with respect to vector measures.Pacific J. Math. 33 (1970), 157-165. Zbl 0195.14303, MR 0259064, 10.2140/pjm.1970.33.157 |
| Reference:
|
[13] D. R. Lewis: On integrability and summability in vector spaces.Illinois J. Math. 16 (1972), 294-307. Zbl 0242.28008, MR 0291409, 10.1215/ijm/1256052286 |
| Reference:
|
[14] H. H. Schaefer: Topological Vector Spaces..The Macmillan Company, New York, 1966. Zbl 0141.30503, MR 0193469 |
| Reference:
|
[15] С. Swartz: Integrability for the Dobrakov integral.Czech. Math. J. 30, 105 (1980), 640-646. Zbl 0506.28005, MR 0592327 |
| . |
