Nearly equivalent operators
The properties of the bounded linear operators on a Hilbert space which satisfy the condition where is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators.
The properties of the bounded linear operators on a Hilbert space which satisfy the condition where is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators.
Let be a Riemannian manifold without a biharmonic Green function defined on it and a domain in . A necessary and sufficient condition is given for the existence of a biharmonic Green function on .
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