SPECTRAL MAPPING THEOREMS FOR HOLOMORPHIC FUNCTIONAL CALCULI

@inproceedings{Haase2005SPECTRALMT,
  title={SPECTRAL MAPPING THEOREMS FOR HOLOMORPHIC FUNCTIONAL CALCULI},
  author={Markus Haase},
  year={2005}
}
A spectral inclusion theorem and a spectral mapping theorem are proved for the functional calculus for sectorial operators. Most proofs are generic, so that similar results can be obtained for other functional calculi. Applications are a new proof for the spectral mapping theorem for fractional powers and the identity σ(log A) = log(σ(A) \ {0}) for any injective sectorial operator A. 
BETA

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

The theory of fractional powers of operators (North-Holland

  • C. Mart́ınez Carracedo, M. Sanz Alix
  • 2001
Highly Influential
6 Excerpts

The functional calculus for sectorial operators, Operator Theory: Advances and Applications (Birkhäuser

  • M. Haase
  • 2005
1 Excerpt

A characterization of group generators on Hilbert spaces and the H∞-calculus

  • M. Haase
  • Semigroup Forum
  • 2003

Spectral mapping theorem for the functional calculus for an operator having BIP

  • E. Fašangová
  • Ulmer Sem. Funktionalanalysis…
  • 2003
1 Excerpt

Spectral properties of operator logarithms

  • M. Haase
  • Math. Z
  • 2003
1 Excerpt

A functional calculus for almost sectorial operators and applications to abstract evolution equations

  • F. Periago, B. Straub
  • J. Evol. Equ
  • 2002
2 Excerpts

Neubrander, Vector-valued Laplace transforms and Cauchy problems, Monographs in Mathematics

  • W. Arendt, C.J.K. Batty, F. M. Hieber
  • 2001
1 Excerpt

A functional calculus for analytic generators of C0-groups

  • M. Uiterdijk
  • Integral Equations Operator Theory
  • 2000
2 Excerpts

One-parameter semigroups for linear evolution equations, Graduate Texts

  • K.-J. Engel, R. Nagel
  • 2000
2 Excerpts

Functional calculus for infinitesimal generators of holomorphic semigroups

  • J. E. Galé, T. Pytlik
  • J. Funct. Anal
  • 1997
1 Excerpt

Similar Papers

Loading similar papers…