Автор |
Grobler, Jacobus J |
Автор |
van Eldik, Peter |
Дата выпуска |
1980 |
dc.description |
ABSTRACTIn this note we present a characterization of the band of kernel operators in the abstract setting of Riesz spaces. Under the assumptions that E is an Archimedean Riesz space and F a Dedekind complete Riesz space separated by its ex= tended order continuo88 dual, we obtain a characterization of the band (E<sub>oo</sub> ⊗ F)<sup>dd</sup> in terms of (sequentially) star or= der continuous operators. |
Формат |
application.pdf |
Издатель |
Taylor & Francis Group |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Тема |
47B10 |
Тема |
47B55 |
Название |
A CHARACTERIZATION OF THE BAND OF KERNEL OPERATORS |
Тип |
research-article |
DOI |
10.1080/16073606.1980.9631864 |
Electronic ISSN |
1727-933X |
Print ISSN |
1607-3606 |
Журнал |
Quaestiones Mathematicae |
Том |
4 |
Первая страница |
89 |
Последняя страница |
107 |
Аффилиация |
Grobler, Jacobus J; Department of Mathematics Potchefstroom, University for C.H.E. |
Аффилиация |
van Eldik, Peter; Department of Mathematics Potchefstroom, University for C.H.E. |
Выпуск |
2 |
Библиографическая ссылка |
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Библиографическая ссылка |
Bukhvalov, A. V. 1978. Integral representation of linear operators. J. of Soviet Math., 9(2): 129–137. |
Библиографическая ссылка |
Lessner, L. 1975. A lattice theoretic characterization of an integral operator. Proc. Am. Math. Soc., 53(2): 391–395. |
Библиографическая ссылка |
Luxemburg, W. A.J. and Masterson, J. J. 1967. An extension of the concept of the order dual of a Riesz space. Can. J. of Math., 19: 488–498. |
Библиографическая ссылка |
Luxemburg, W. A.J. and Zaanen, A. C. 1964–1966. Notes on Banach function spaces Indag. Math., 25–27 |
Библиографическая ссылка |
Luxemburg, W. A.J. and Zaanen, A. C. 1971. Riesz spaces I Amsterdam: North-Holland. |
Библиографическая ссылка |
Nagel, R. J. and Schlotterbeck, U. 1972. Integraldarstellung regulärer Operatoren auf Banachverbänden. Math. Z., 127: 293–300. |
Библиографическая ссылка |
Schaefer, H. H. 1974. Banach lattices and positive operators Berlin: Springer-Verlag. |
Библиографическая ссылка |
Schep, A. R. 1977. Kernel operators Thesis, University of Leiden |
Библиографическая ссылка |
Vietsch, W. K. 1979. Abstract kernel operators and compact operators Thesis, University of Leiden |