On unions of scrolls along linear spaces

Margherita Barile; Marcel Morales

Displaying similar documents to “On unions of scrolls along linear spaces”

Kellogg's iterations for general complex matrix

Jan Zítko (1974)

Aplikace matematiky

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Differential equations and maximal ideals on the Weyl algebra $A_{2} (ℂ)$

Giuliano Bratti, Masako Takagi (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Some results about Beurling algebras with applications to operator theory

Thomas Vils Pedersen (1995)

Studia Mathematica

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We prove that certain maximal ideals in Beurling algebras on the unit disc have approximate identities, and show the existence of functions with certain properties in these maximal ideals. We then use these results to prove that if T is a bounded operator on a Banach space X satisfying $∥ T^{n} ∥ = O (n^{β})$ as n → ∞ for some β ≥ 0, then $\sum_{n = 1}^{\infty} ∥ {(1 - T)}^{n} x ∥ / ∥ {(1 - T)}^{n - 1} x ∥$ diverges for every x ∈ X such that ${(1 - T)}^{[β] + 1} x \neq 0$ .