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Zbl 0791.47029
Grosse-Erdmann, Karl-Goswin
Matrix transformations between the sequence spaces of Maddox. (English)
[J] J. Math. Anal. Appl. 180, No.1, 223-238 (1993). ISSN 0022-247X

Summary: The sequence spaces of Maddox $\ell(p)$, $c\sb 0(p)$, $c(p)$, and $\ell\sb \infty(p)$, with a sequence $p=(p\sb k)$ as parameter, generalise the classical sequence spaces $\ell\sb 1$, $c\sb 0$, $c$, and $\ell\sb \infty$. In this paper, Toeplitz conditions are derived for matrices to map a Maddox sequence space into another such space.

MSC 2000:: *47B37 Operators on sequence spaces, etc.
46A45 Sequence spaces

Keywords: Toeplitz conditions; Maddox sequence space

Cited in: Zbl 1061.40009 Zbl 0967.46009

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