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Browsing by Subject "composition operator"

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    Item type:Article, Access status: Open Access ,
    Jan Stochel, a stellar mathematician
    (Wydawnictwa AGH, 2024) Chavan, Sameer; Curto, Raúl; Jabłoński, Zenon Jan; Jung, Il Bong; Putinar, Mihai
    The occasion for this survey article was the 70th birthday of Jan Stochel, professor at Jagiellonian University, former head of the Chair of Functional Analysis and a prominent member of the Kraków school of operator theory. In the course of his mathematical career, he has dealt, among other things, with various aspects of functional analysis, single and multivariable operator theory, the theory of moments, the theory of orthogonal polynomials, the theory of reproducing kernel Hilbert spaces, and mathematical aspects of quantum mechanics.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Uniformly continuous composition operators in the space of bounded φ-variation functions in the Schramm sense
    (2012) Ereú, Tomás; Merentes Díaz, Nelson José; Sánchez, José Luis; Wróbel, Małgorzata
    We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized $\Phi$-variation in the Schramm sense is affine. A composition operator is locally defined. We show that every locally defined operator mapping the space of continuous functions of bounded (in the sense of Jordan) variation into the space of continous monotonic functions is constant.