Lower upper factorizations of operators with middle terms

A. Ben-Artzi*, I. Gohberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider factorizations of the form I - K = (I + K-)(D + F)(I + K+), where K-, K+, and D are lower, upper, and diagonal operators relative to a maximal chain P of orthoprojections in a separable Hilbert space. In the case when K, K-, and K+ are Hilbert-Schmidt, we determine the minimal rank of the operator F which occurs in the middle term of the factorization.

Original languageEnglish
Pages (from-to)309-325
Number of pages17
JournalJournal of Functional Analysis
Volume77
Issue number2
DOIs
StatePublished - Apr 1988

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