A new mode of convergence of linear operators in a Hilbert space

  • Alexander Y. Gordon

    University of North Carolina at Charlotte, USA
A new mode of convergence of linear operators in a Hilbert space cover

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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 z-converges to a linear operator , then is self-adjoint.

Cite this article

Alexander Y. Gordon, A new mode of convergence of linear operators in a Hilbert space. J. Spectr. Theory 9 (2019), no. 4, pp. 1165–1177

DOI 10.4171/JST/294