Operators having selfadjoint squares
classification
🧮 math.FA
keywords
operatorselfadjointactingclosedcomplexdefineddenselyexactly
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The main goal of this paper is to show that a (not necessarily densely defined or closed) symmetric operator $A$ acting on a real or complex Hilbert space is selfadjoint exactly when $I+A^2$ is a full range operator.
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