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On the spectrum of C, as an operator on bv

Year 1992, Volume: 41 , 0 - 0, 01.01.1992
https://doi.org/10.1501/Commua1_0000000515

Abstract

In 1985 John Reade determined the spectrum of the Cesâro Operatör which is repre- sented by the matrix:
/ I 0 0 . . . \
C ı — ı 2 0 ... I
regarded as an operatör on the space co of ali null sequences normed by || x j| = sup [ xn [. n> 0 It is the purpose of this paper to determine the spectrum of regarded as an operatör on the 00
space bv of ali sequences x such that lim xn exists and ][ x || = lim | xn 4- 2 ]xn + l-xn | n—>Oo n->00 n=0 < 00 We do so by proving that (C , - XI)-1 GB (bv) for ali XeC such that [ X- | > i •

References

  • Communications, Series A1:Mathematics and Statistics
Year 1992, Volume: 41 , 0 - 0, 01.01.1992
https://doi.org/10.1501/Commua1_0000000515

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

J. T. Okutoyı This is me

Publication Date January 1, 1992
Submission Date January 1, 1992
Published in Issue Year 1992 Volume: 41

Cite

APA Okutoyı, J. T. (1992). On the spectrum of C, as an operator on bv. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000515
AMA Okutoyı JT. On the spectrum of C, as an operator on bv. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1992;41. doi:10.1501/Commua1_0000000515
Chicago Okutoyı, J. T. “On the Spectrum of C, As an Operator on Bv”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41, January (January 1992). https://doi.org/10.1501/Commua1_0000000515.
EndNote Okutoyı JT (January 1, 1992) On the spectrum of C, as an operator on bv. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE J. T. Okutoyı, “On the spectrum of C, as an operator on bv”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, 1992, doi: 10.1501/Commua1_0000000515.
ISNAD Okutoyı, J. T. “On the Spectrum of C, As an Operator on Bv”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1992). https://doi.org/10.1501/Commua1_0000000515.
JAMA Okutoyı JT. On the spectrum of C, as an operator on bv. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000515.
MLA Okutoyı, J. T. “On the Spectrum of C, As an Operator on Bv”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, 1992, doi:10.1501/Commua1_0000000515.
Vancouver Okutoyı JT. On the spectrum of C, as an operator on bv. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41.

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