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 •
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1992 |
Submission Date | January 1, 1992 |
Published in Issue | Year 1992 Volume: 41 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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