On conditional inclusion of matrix methods
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- by J. Mayer-Kalkschmidt PDF
- Proc. Amer. Math. Soc. 10 (1959), 193-198 Request permission
References
- L. S. Bosanquet, A mean value theorem, J. London Math. Soc. 16 (1941), 146–148. MR 5361, DOI 10.1112/jlms/s1-16.3.146
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- W. Jurkat, Über Rieszsche Mittel mit unstetigem Parameter, Math. Z. 55 (1951), 8–12 (German). MR 47796, DOI 10.1007/BF01212664
- W. Jurkat and A. Peyerimhoff, Mittelwertsätze bei Matrix- und Integraltransformationen, Math. Z. 55 (1951), 92–108 (German). MR 47798, DOI 10.1007/BF01212670
- W. Jurkat and A. Peyerimhoff, Mittelwertsätze und Vergleichssätze für Matrixtransformationen, Math. Z. 56 (1952), 152–178 (German). MR 49343, DOI 10.1007/BF01175032
- G. G. Lorentz, Direct theorems on methods of summability, Canad. J. Math. 1 (1949), 305–319. MR 32023, DOI 10.4153/cjm-1949-028-6 I. Schur, Über lineare Transformationen in der Theorie der unendlichen Reihen, J. Reine Angew. Math. vol. 151 (1921) pp. 79-111.
- Albert Wilansky, A necessary and sufficient condition that a summability method be stronger than convergence, Bull. Amer. Math. Soc. 55 (1949), 914–916. MR 32024, DOI 10.1090/S0002-9904-1949-09307-2
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 193-198
- MSC: Primary 40.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0109970-9
- MathSciNet review: 0109970