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11/03/2016, 15:00 — 16:00 — Room P3.10, Mathematics Building

Frank-Olme Speck, *Universidade de Lisboa*

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Paired operators in asymmetric space setting

Relations between paired and truncated operators acting in Banach spaces are generalized to asymmetric space settings, i.e., to matrix operators acting between different spaces. This allows more direct proofs and further results in factorization theory, here in connection with the *Cross Factorization Theorem* and the *Bart-Tsekanovkii Theorem*. Concrete examples from mathematical physics are presented: the construction of resolvent operators to problems of diffraction of time-harmonic waves from plane screens which are not convex.