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Elementary operators with H∞-symbols

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Abstract

Let T be a c.n.u. contraction on a Hilbert spaceH and let u-(u1,...,un) be an n-tuple of H∞(T). We calculate various joint spectra of u(T) and apply the results to study the spectral and index theories of elementary operators associated with n-tuples of the above type.

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Authors and Affiliations

  1. Department of Mathematics, University of Iowa, 52242, Iowa City, IA, USA

    Raúl E. Curto

  2. Department of Mathematics and Computer Science, S.U.N.Y at New Paltz, 12561, New Paltz, NY, USA

    Lawrence A. Fialkow

Authors
  1. Raúl E. Curto
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  2. Lawrence A. Fialkow
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Additional information

Both authors have been partially supported by NSF grants.

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Curto, R.E., Fialkow, L.A. Elementary operators with H∞-symbols. Integr equ oper theory 10, 707–720 (1987). https://doi.org/10.1007/BF01195797

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  • DOI: https://doi.org/10.1007/BF01195797

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