Alexander Y. Gordon
Abstract
We introduce the concept of z-convergence of linear (not necessarily bounded) operators in a Hilbert space that generalizes the strong resolvent convergence of self-adjoint operators and has the following property: if a sequence of self-adjoint operators A_n z-converges to a linear operator A , then A is self-adjoint.
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We introduce the concept of z-convergence of linear (not necessarily bounded) operators in a Hilbert space that generalizes the strong resolvent convergence of self-adjoint operators and has the following property: if a sequence of self-adjoint operators A_n z-converges to a linear operator A , then A is self-adjoint.
Key concepts: Hilbert space, Convergence (economics), Mathematics, Linear operators, Mode (computer interface), Rigged Hilbert space, Space (punctuation), Mathematical analysis