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Diagonalization of indefinite saddle point forms

Mathematical Physics 2017-10-17 v1 Functional Analysis math.MP Spectral Theory

Abstract

We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that are semi-bounded neither from below nor from above. In the semi-bounded case, we refine the obtained results and, as an example, revisit the block Stokes Operator from fluid dynamics.

Keywords

Cite

@article{arxiv.1710.05105,
  title  = {Diagonalization of indefinite saddle point forms},
  author = {Luka Grubišić and Vadim Kostrykin and Konstantin A. Makarov and Stephan Schmitz and Krešimir Veselić},
  journal= {arXiv preprint arXiv:1710.05105},
  year   = {2017}
}

Comments

21 pages

R2 v1 2026-06-22T22:13:22.541Z