Hausdorff Prime Matrices
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 172-175

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In this paper we give the form of every multiplicative Hausdorff prime matrix, thus answering a long-standing open question.
DOI : 10.4153/CMB-2011-052-2
Mots-clés : 40G05, Hausdorff prime matrices
Rhoades, B. E. Hausdorff Prime Matrices. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 172-175. doi: 10.4153/CMB-2011-052-2
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[1] [1] Agnew, R. P., On Hurwitz-Silverman-Hausdorff methods of summability. Tôhoku Math. J. 49(1942), 1–14. Google Scholar

[2] [2] Boos, J., Classical and modern methods in summablity. Oxford Mathematical Monographs, Oxford Science Publications, Oxford University Press, Oxford, 2000. Google Scholar

[3] [3] Conway, J. B., Functions of one complex variable, Graduate Texts in Mathematics, 11, Springer-Verlag, New York-Berlin, 1978. Google Scholar

[4] [4] Fuchs, W. H. J., A theorem on finite differences with an application to the theory of Hausdorff summability. Proc. Cambridge Phil. Soc. 40(1944), 189–197. Google Scholar

[5] [5] Hausdorff, F., Summationsmethoden und Momentfolgen. I. Math Z. 9(1921), no. 1–2, 74–109. doi:10.1007/BF01378337 Google Scholar

[6] [6] Hille, E. and Phillips, R. S., Functional analysis and semi-groups. rev. ed., American Mathematical Society Colloquium Publications, 31, American Mathematical Society, Providence, RI, 1957. Google Scholar

[7] [7] Hille, E. and Tamarkin, J. D., Questions of relative inclusion in the domain of Hausdorff means. Proc. Natl. Acad. Sci. USA 19(1933), no. 5, 573–577. Google Scholar

[8] [8] Hurwitz, W. A. and Silverman, L. L., On the consistency and equivalence of certain definitions of summability. Trans. Amer. Math. Soc. 18(1917), no. 1, 1–20. Google Scholar

[9] [9] Sharma, N. K., Isolated points of the spectra of conservative matrices. Proc. Amer. Math. Soc. 51(1975), 74–78. doi:10.1090/S0002-9939-1975-0372461-3 Google Scholar

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