Complex symmetric composition operators on H2

Sivaram K. Narayan; Daniel Sievewright; Derek Thompson

doi:10.1016/j.jmaa.2016.05.046

Complex symmetric composition operators on H²

Sivaram K. Narayan, Daniel Sievewright, Derek Thompson

Mathematics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

In this paper, we find complex symmetric composition operators on the classical Hardy space H² whose symbols are linear-fractional but not automorphic. In doing so, we answer a recent question of Noor, and partially answer the original problem posed by Garcia and Hammond.

Original language	English
Pages (from-to)	625-630
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	443
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2016.05.046
State	Published - Nov 1 2016

Keywords

Complex symmetric
Composition operator
Hardy space

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10.1016/j.jmaa.2016.05.046

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title = "Complex symmetric composition operators on H2",

abstract = "In this paper, we find complex symmetric composition operators on the classical Hardy space H2 whose symbols are linear-fractional but not automorphic. In doing so, we answer a recent question of Noor, and partially answer the original problem posed by Garcia and Hammond.",

keywords = "Complex symmetric, Composition operator, Hardy space",

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AU - Sievewright, Daniel

AU - Thompson, Derek

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AB - In this paper, we find complex symmetric composition operators on the classical Hardy space H2 whose symbols are linear-fractional but not automorphic. In doing so, we answer a recent question of Noor, and partially answer the original problem posed by Garcia and Hammond.

KW - Complex symmetric

KW - Composition operator

KW - Hardy space

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M3 - Article

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VL - 443

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EP - 630

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

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Complex symmetric composition operators on H²

Abstract

Keywords

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