Positioning matrices with respect to the boundary of the maximal group

Publisher： Cambridge University Press

E-ISSN： 1755-1633|33|1|113-122

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.33, Iss.1, 1986-02, pp. : 113-122

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Abstract

Let Δ denote the Banach algebra of all conservative triangular matrics, M the maximal group of invertible elements of Δ, B the boundary of M and . In this note little Nörlund means are located with respect to the disjoint decomposition M u B u N of Δ in terms of the zeros of the generating power series. Further, corridor matrices of finite type, that is, conservative methods with finitely many convergent diagonals, are located with respect to M u B u N.

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