We prove the following statements about bounded linear operators on a separable, complex Hilbert space: (1) Every normal operator $N$ that is similar to a Hilbert ...
Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...
Let M be a von Neumann algebra and let φ be a normal linear functional on a strongly closed C*-subalgebra N of M. Denote by Fφ the set of normal linear functionals ψ on M extending φ with |ψ| = |φ|.
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