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Extensions of triangular Hilbert-Schmidt operators

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Abstract

LetP be a chain of orthogonal projections on a Hilbert spaceH. The main problem considered in this paper is to determine a Hilbert-Schmidt operator K onH given the descriptions, in terms ofP, of the upper triangular part of K and of the lower triangular part of (I+K)−1 −I.

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  2. Department of Mathematics, University of Maryland, 20742, College Park, MD, U.S.A.

    Seymour Goldberg

Authors
  1. Israel Gohberg
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  2. Seymour Goldberg
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Dedicated to Heinz Günther Tillman on his 60th birthday.

Supported in part by NSF grant MCS-8103463.

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Gohberg, I., Goldberg, S. Extensions of triangular Hilbert-Schmidt operators. Integr equ oper theory 7, 743–790 (1984). https://doi.org/10.1007/BF01195866

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  • DOI: https://doi.org/10.1007/BF01195866

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