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Towards a Classification of Convolution-Type Operators From l1 to l

Published online by Cambridge University Press:  20 November 2018

G. Crombez
Affiliation:
State University of Ghent, Seminar of Higher Analysis, Galglaan 2 B-9000 Gent, Belgium
W. Govaerts
Affiliation:
State University of Ghent, Seminar of Higher Analysis, Galglaan 2 B-9000 Gent, Belgium
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Let Z be the additive group of integer numbers with discrete topology, the space of complex-valued integrable functions on Z with respect to normalized Haar measure, the space of bounded functions on Z.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Comisky, C., Multipliers of Banach modules. Ph.D. dissertation, University of Oregon, 1970.Google Scholar
2. Crombez, G. and Govaerts, W., Compact convolution operators between Lp(G)-spaces. Colloq. Math. 39 (1978), 325-329.Google Scholar
3. Hermann, R., Generalizations of weakly compact operators. Trans. Amer. Math. Soc, 132 (1968), 377-386.Google Scholar
4. Lindenstrauss, J. and Tzafriri, L., Classical Banach spaces. Berlin, Springer, 1973 (Lecture Notes, 338).Google Scholar
5. Pelczynski, A., On strictly singular and strictly cosingular operators. I. Strictly singular and strictly cosingular operators in C(S)-spaces. Bull. Acad. Polon. Sci., Sér. Se. Math. Astronom. Phys. 13 (1965), 31-36.Google Scholar
6. Pelczynski, A., On strictly singular and strictly cosingular operators. II. Strictly singular and strictly cosingular operators in L(v)-spaces. Bull. Acad. Polon. Sci., Sér. Se. Math. Astronom. Phys. 13 (1965), 37-41.Google Scholar
7. Ylinen, K., Characterizations of B(G) and B(G)nAP(G) for locally compact groups. Proc. Amer. Math. Soc. 58 (1976), 151-157.Google Scholar