2026-06-27T10:29:27Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/647542023-08-11T05:17:30Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Bombal Gordón, Fernando
2023-06-21T02:03:54Z
2023-06-21T02:03:54Z
1986
0213-8743
https://hdl.handle.net/20.500.14352/64754
http://dmle.cindoc.csic.es/pdf/EXTRACTAMATHEMATICAE_1986_01_03_02.pdf
http://dmle.cindoc.csic.es/
Let K be a compact Hausdorff space and E,F B-spaces. Let L(E,F) be the space of all bounded linear operators from E into F, and C(K,E) the space of all continuous E-valued functions defined on K equipped with the sup-norm. Any bounded linear operator T:C(K,E)→F has an integral representation as Tf=∫Kfdm, where m is a measure defined on the Borel sets of K with values in L(E,F′′). One of the principal problems in this area is to characterize the various classes of operators such as the weakly compact, Dunford-Pettis, Dieudonné and unconditionally converging operators in terms of their representing measure. In this paper the author gives an expository account of the current status of these problems and indicates many open problems in this area.
eng
Operators on spaces of vector-valued continuous functions
journal article
URL
https://docta.ucm.es/bitstreams/c8493265-f6b2-4a69-bffa-01be2095f956/download
File
MD5
0cd34ca872a75ebf73acf3f502ab7672
783150
application/pdf
bombal46.pdf
URL
https://docta.ucm.es/bitstreams/35cd0cb8-8eb7-4aa8-954b-96d37397c19c/download
File
MD5
1b70f87af6fdb6f73d267b35669fa6d4
24
text/plain
bombal46.pdf.txt