Many parameter Holder perturbation of unbounded operators

作者:Kriegl Andreas; Michor Peter W*; Rainer Armin
来源:Mathematische Annalen, 2012, 353(2): 519-522.
DOI:10.1007/s00208-011-0693-9

摘要

If u bar right arrow A(u) is a C-0,C-alpha-mapping, for 0 %26lt; alpha %26lt;= 1, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parameterized by u in an (even infinite dimensional) space, then any continuous (in u) arrangement of the eigenvalues of A(u) is indeed C-0,C-alpha in u.

  • 出版日期2012-6