JournalsrlmVol. 18, No. 3pp. 235–255

Linear isometries of some function algebras

  • Edoardo Vesentini

    Pisa, Italy
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Abstract

Linear isometries of a class of logmodular algebras which are generated by unitary functions are represented by Holszty\'{n}ski type weighted composition operators. The description of these operators leads - among other things - to a characterization of the linear isometries of the disc algebra and of the Hardy space of all bounded holomorphic functions on the open unit disc of C\mathbb{C}. Spectral properties of these isometries are also investigated.

Cite this article

Edoardo Vesentini, Linear isometries of some function algebras. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 3, pp. 235–255

DOI 10.4171/RLM/492