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DOI: 10.23952/cot.2026.1
Received May 12, 2024; Accepted Decembe 18, 2024; Published online January 1, 2026
Abstract. In this paper, we present some results characterizing compact sets in the space of bounded linear operators from one Banach space to another and their applications to feedback control theory. We present necessary and sufficient conditions characterizing compact sets in the weak operator topology followed by similar results with respect to strong operator topology. These results are then used to develop feedback control theory for evolution equations on Banach spaces.
How to Cite this Article:
N.U. Ahmed, Compact sets in the space of bounded linear operators and applications to optimal feedback control, Commun. Optim. Theory 2026 (2026) 1.