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Toeplitz plus Hankel Operators with Infinite Index

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Abstract.

We study Toeplitz plus Hankel operators acting between Lebesgue spaces on the unit circle, and having symbols which contain standard almost periodic discontinuities. Conditions are obtained under which these operators are right-invertible and with infinite kernel dimension, left-invertible and with infinite cokernel dimension or simply not normally solvable.

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Authors and Affiliations

  1. Research Unit “Mathematics and Applications”, Department of Mathematics, University of Aveiro, 3810–193, Aveiro, Portugal

    G. Bogveradze & L. P. Castro

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  1. G. Bogveradze
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  2. L. P. Castro
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Correspondence to L. P. Castro.

Additional information

This research was supported by Fundação para a Ciência e a Tecnologia (Portugal) through Unidade de Investigação Matemática e Aplicações of University of Aveiro.

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Bogveradze, G., Castro, L.P. Toeplitz plus Hankel Operators with Infinite Index. Integr. equ. oper. theory 62, 43–63 (2008). https://doi.org/10.1007/s00020-008-1611-8

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  • DOI: https://doi.org/10.1007/s00020-008-1611-8

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