On the Banach algebra ℬ ( l p ( α ) )

Bruno de Malafosse

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-17

Abstract:

We give some properties of the Banach algebra of bounded operators ℬ ( l p ( α ) ) for 1 ≤ p ≤ ∞ , where l p ( α ) = ( 1 / α ) − 1 ∗ l p . Then we deal with the continued fractions and give some properties of the operator Δ h for h > 0 or integer greater than or equal to one mapping l p ( α ) into itself for p ≥ 1 real. These results extend, among other things, those concerning the Banach algebra S α and some results on the continued fractions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:215728

DOI: 10.1155/S0161171204406498

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