bv0 -Norms for Some Triangular Matrices
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 410-415

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we obtain the bv 0-norms for several well-known classes of matrix operators.
DOI : 10.4153/CMB-1992-054-2
Mots-clés : 47A30, 40G05
Rhoades, B. E. bv0 -Norms for Some Triangular Matrices. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 410-415. doi: 10.4153/CMB-1992-054-2
@article{10_4153_CMB_1992_054_2,
     author = {Rhoades, B. E.},
     title = {bv0 {-Norms} for {Some} {Triangular} {Matrices}},
     journal = {Canadian mathematical bulletin},
     pages = {410--415},
     year = {1992},
     volume = {35},
     number = {3},
     doi = {10.4153/CMB-1992-054-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-054-2/}
}
TY  - JOUR
AU  - Rhoades, B. E.
TI  - bv0 -Norms for Some Triangular Matrices
JO  - Canadian mathematical bulletin
PY  - 1992
SP  - 410
EP  - 415
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-054-2/
DO  - 10.4153/CMB-1992-054-2
ID  - 10_4153_CMB_1992_054_2
ER  - 
%0 Journal Article
%A Rhoades, B. E.
%T bv0 -Norms for Some Triangular Matrices
%J Canadian mathematical bulletin
%D 1992
%P 410-415
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-054-2/
%R 10.4153/CMB-1992-054-2
%F 10_4153_CMB_1992_054_2

[1] 1. Borwein, D., Peter, F. Cass and John E. Syare, On generalized Hausdorff matrices, J. Approx. Theory 48(1986), 354–360. Google Scholar

[2] 2. Borwein, D. and Jakimovski, A., Matrix operators on lp , Rocky Mountain J. Math. 9(1979), 453–477. Google Scholar

[3] 3. Borwein, D. and Jakimovski, A., Generalization of the Hausdorff moment problem, Canad. J. Math. 33(1981), 946–960. Google Scholar

[4] 4. Endl, K., Untersuchungen iiber Momentprobleme bei Verfahren vom Hausdorffschen Typus, Math. Annal. 139(1960), 403–432. Google Scholar

[5] 5. Jakimovski, A., The product of summability methods; part 2 , Tech. Report (8), Jerusalem (1959). Google Scholar

[6] 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] 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] 8. Hausdorff, F., Summationsmethoden und Momentfolgen, I, Math. Z. 9(1921), 74–109. Google Scholar

[9] 9. Hausdorff, F., Summationsmethoden und Momentfolgen, II, Math. Z. 9(1921), 280–299. Google Scholar

[10] 10. Okutoyi, J. I., On the spectrum ofC\ as an operator on bv0, J. Austral. Math. Soc. 48(1990), 79–86. Google Scholar

[11] 11. Rhaly, H. C., Jr., Discrete generalized Cesàro operators, Proc. Amer. Math. Soc. 86(1982), 405–409. Google Scholar

[12] 12. Rhaly, H. C., Jr., p-Cesàro matrices, Houston J. Math. 15(1989), 137–146. Google Scholar

[13] 13. Rhaly, H. C., Jr., Terraced matrices, Bull. London Math. Soc. 21(1989), 399–406. Google Scholar

[14] 14. Rhoades, B. E., Spectra of some Hausdorff operators, Acta Sci. Math. 32(1971), 91–100. Google Scholar

[15] 15. Rhoades, B. E., Generalized Hausdorff matrices bounded on £p andc, Acta Sci. Math. 43(1981), 333–345. Google Scholar

[16] 16. Stieglitz, M. and Tietz, H., Matrixtransformationen von Folgenraumen Eine Ergebnisübersicht, Math. Z. 154(1977), 1–16. Google Scholar

Cité par Sources :