Characterising Weak - Operator Continuous Linear Functionals on B ( H ) constructively
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چکیده
Abstract. Let B(H) be the space of bounded operators on a notnecessarily-separable Hilbert space H . Working within Bishop-style constructive analysis, we prove that certain weak-operator continuous linear functionals on B(H) are finite sums of functionals of the form T 〈Tx, y〉. We also prove that the identification of weakand strong-operator continuous linear functionals on B(H) cannot be established constructively.
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تاریخ انتشار 2011