In this note we characterize all the linear operators on the linear space of n × n complex matrices which preserve the numerical radius and all the linear operators on the real linear space of n × n ...
Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...
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 ...
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