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More Questions and Some Open Problems

Mohammed Hichem Mortad
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Mohammed Hichem Mortad: University of Oran 1

Chapter Chapter 17 in Counterexamples in Operator Theory, 2022, pp 285-290 from Springer

Abstract: Abstract Show that the mapping A↦A 2 defined from B(H) into B(H) is not weakly continuous, that is, find a sequence (A n) in B(H) that converges weakly to A ∈ B(H) yet ( A n 2 ) $$(A_n^2)$$ does not converge weakly to A 2.

Date: 2022
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DOI: 10.1007/978-3-030-97814-3_17

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