N. Romero

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20142024

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math.FA2024

Powers of Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

Let $c = (C_{n})_{n \geq 0}$ be the Catalan sequence and $T$ a linear and bounded operator on a Banach space $X$ such $4 T$ is a power-bounded operator. The Catalan generating function is…

math.FA2024

Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

In this paper we study the solution of the quadratic equation $T Y^{2} - Y + I = 0$ where $T$ is a linear and bounded operator on a Banach space $X$ . We describe the spectrum set and the re…