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Invertible and normal composition operators on the Hilbert Hardy space of a half–plane

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Matache V.

Concrete Operators

2016

tom 3

nr 1

77-84

Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.

Ograniczanie wyników

1 Concrete Operators

1 Matache V.

1 2016

Wyniki wyszukiwania

Invertible and normal composition operators on the Hilbert Hardy space of a half–plane