Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T19:58:32.517Z Has data issue: false hasContentIssue false
  • English
  • Français

bv0-Norms for Some Triangular Matrices

Published online by Cambridge University Press:  20 November 2018

B. E. Rhoades
B. E. Rhoades*
Affiliation:
Department of Mathematics Indiana University Bloomington, Indiana 47405 U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we obtain the bv0-norms for several well-known classes of matrix operators.

Keywords

47A3040G05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 3 , 01 September 1992 , pp. 410 - 415
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Borwein, D., Peter, F. Cass and John E. Syare, On generalized Hausdorff matrices, J. Approx. Theory 48(1986), 354–360.Google Scholar
2. Borwein, D. and Jakimovski, A., Matrix operators on lp , Rocky Mountain J. Math. 9(1979), 453–477.Google Scholar
3. Borwein, D. and Jakimovski, A., Generalization of the Hausdorff moment problem, Canad. J. Math. 33(1981), 946–960.Google Scholar
4. Endl, K., Untersuchungen iiber Momentprobleme bei Verfahren vom Hausdorffschen Typus, Math. Annal. 139(1960), 403–432.Google Scholar
5. Jakimovski, A., The product of summability methods; part 2 , Tech. Report (8), Jerusalem (1959).Google Scholar
6. Jakimovski, A., The product of summability methods; new classes of transformations and their properties , Tech. note (4) AF 61(052)-187(1959).Google Scholar
7. Jakimovski, A., Billy E. Rhoades and Jean Tzimbalario, Hausdorff matrice s as bounded operators over tp, MathZ. 138(1974), 173–181.Google Scholar
8. Hausdorff, F., Summationsmethoden und Momentfolgen, I, Math. Z. 9(1921), 74–109.Google Scholar
9. Hausdorff, F., Summationsmethoden und Momentfolgen, II, Math. Z. 9(1921), 280–299.Google Scholar
10. Okutoyi, J. I., On the spectrum ofC\ as an operator on bv0, J. Austral. Math. Soc. 48(1990), 79–86.Google Scholar
11. Rhaly, H. C., Jr., Discrete generalized Cesàro operators, Proc. Amer. Math. Soc. 86(1982), 405–409.Google Scholar
12. Rhaly, H. C., Jr., p-Cesàro matrices, Houston J. Math. 15(1989), 137–146.Google Scholar
13. Rhaly, H. C., Jr., Terraced matrices, Bull. London Math. Soc. 21(1989), 399–406.Google Scholar
14. Rhoades, B. E., Spectra of some Hausdorff operators, Acta Sci. Math. 32(1971), 91–100.Google Scholar
15. Rhoades, B. E., Generalized Hausdorff matrices bounded on £p andc, Acta Sci. Math. 43(1981), 333–345.Google Scholar
16. Stieglitz, M. and Tietz, H., Matrixtransformationen von Folgenraumen Eine Ergebnisübersicht, Math. Z. 154(1977), 1–16.Google Scholar