Some sequence spaces which include $c_0$ and $c$

B.E. RHOADES

doi:10.14492/hokmj/1285766418

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Home > Journals > Hokkaido Math. J. > Volume 35 > Issue 3 > Article

August 2006 Some sequence spaces which include $c_0$ and $c$

B.E. RHOADES

Hokkaido Math. J. 35(3): 587-599 (August 2006). DOI: 10.14492/hokmj/1285766418

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Abstract

It is first shown that a certain class of regular factorable matrices is equivalent to $C$, the Ces\'{a}ro matrix of order one. As a corollary it is shown that the matrix $A$ of [1] is equivalent to $C$. Then most of the results of [1] and [3] are extended to regular factorable matrices.

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B.E. RHOADES. "Some sequence spaces which include $c_0$ and $c$." Hokkaido Math. J. 35 (3) 587 - 599, August 2006. https://doi.org/10.14492/hokmj/1285766418