Spectral mapping theorem for fractional powers of linear relations

DOI10.1007/s11785-016-0565-0zbMath1373.47003OpenAlexW2401019199MaRDI QIDQ520150

Attaif Farah, Maher Mnif

Publication date: 3 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0565-0

zbMATH Keywords

essential spectraspectral mapping theoremclosed linear relationfractional powers of linear relationslower semi-Fredholm linear relationupper semi-Fredholm linear relation

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) (Semi-) Fredholm operators; index theories (47A53) Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06)

Related Items (2)

Necessary conditions for extended spectral decomposable multivalued linear operators ⋮ Sufficient conditions for extended spectral decomposable multi-valued linear operators

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• A functional calculus and fractional powers for multivalued linear operators
• Spectral mapping theorem for ascent, essential ascent, descent and essential descent spectrum of linear relations
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