P. Miana

activity

20092026

most citedSharp extensions and algebraic properties for solution families of vector-valued differential equations

6 citations · 15 across the 22 of their papers we have counts for

collaborators

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17 papers · 1 filter

math.FA2026

Entire groups generated by fractional powers of operators

Rodrigo Barberán, Pedro J. Miana

Let $T$ be a power-bounded operator on a Banach space $X$ . We treat the sequence of polynomials $(p_{n; a})_{n \geq 0}$ such that the entire group generated by the fractional power op…

math.FA2026

Cesàro-Hardy operators on $L^{p} [0, 1]$ : fine spectrum, weighted Koopman semigroups and invariant subspaces

Luciano Abadías, Alejandro Mahillo, Pedro J. Miana

In this paper we study boundedness and detailed spectral properties for the Cesàro-Hardy operator and some generalizations in $L^{p} [0, 1]$ . The study employs $C_{0}$ -semigroup theory,…

math.FA2025

Two Koopman semigroups on discrete Lebesgue spaces

Pedro J. Miana

In this paper we are interested to connect Koopman semigroups in Lebesgue funcion spaces $L^{p} (R^{+})$ and $C_{0}$ -semigroups in Lebesgue sequence spaces $ℓ^{p}$ for $1 \leq p < \infty$ …

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…

math.FA2024

Hilbertian Hardy-Sobolev spaces on a half-plane

José E. Galé, Valentin Matache, Pedro J. Miana +1

In this paper we deal with a scale of reproducing kernel Hilbert spaces $H_{2}^{(n)}$ , $n \geq 0$ , which are linear subspaces of the classical Hilbertian Hardy space on the right-hand…

Entire groups generated by fractional powers of operators

Cesàro-Hardy operators on Lp[0,1]: fine spectrum, weighted Koopman semigroups and invariant subspaces

Two Koopman semigroups on discrete Lebesgue spaces

Powers of Catalan generating functions for bounded operators

Catalan generating functions for bounded operators

Hilbertian Hardy-Sobolev spaces on a half-plane

Cesàro-Hardy operators on $L^{p} [0, 1]$ : fine spectrum, weighted Koopman semigroups and invariant subspaces