Raffael Hagger

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20182020

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math.FA2020

Bounded and compact Toeplitz+Hankel matrices

Torsten Ehrhardt, Raffael Hagger, Jani Virtanen

We show that an infinite Toeplitz+Hankel matrix $T (φ) + H (ψ)$ generates a bounded (compact) operator on $ℓ^{p} (N_{0})$ with $1 \leq p \leq \infty$ if and only if both $T (φ)$ …

math.FA2020

Essential Commutants and Characterizations of the Toeplitz Algebra

Raffael Hagger

In this paper we study the Toeplitz algebra, which is generated by Toeplitz operators with bounded symbols on the Fock space $F_{α}^{p}$ . We show that the Toeplitz algebra coincides wi…

math.FA2019

Compact Hankel Operators with Bounded Symbols

Raffael Hagger, Jani Virtanen

We discuss the compactness of Hankel operators on Hardy, Bergman and Fock spaces with focus on the differences between the three cases, and complete the theory of compact Hankel op…