Wiener-Hopf operators admit triangular factorization
R.V.Bessonov
TL;DR
This paper proves that all positive bounded invertible Wiener-Hopf operators can be factorized in a triangular form, resolving a question posed over two decades ago.
Contribution
It establishes the triangular factorization property for Wiener-Hopf operators, answering a long-standing open problem.
Findings
Positive bounded invertible Wiener-Hopf operators admit triangular factorization
Addresses a question posed by L. Sakhnovich in 1994
Provides a theoretical proof for the factorization property
Abstract
We prove that every positive bounded invertible Wiener-Hopf operator admits triangular factorization. This answers the question posed by L.Sakhnovich in 1994.
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