The splitting spectrum differs from the Taylor spectrum

• Autorzy: V. Müller
• Języki publikacji: EN

Abstrakty

EN

We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.

Kategorie tematyczne

• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 123
• Numer: 3
• Strony: 291-294

Daty

wydano

1997

otrzymano

1996-11-21

Twórcy

autor

V. Müller

• Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25 115 67 Praha 1, Czech Republic

Bibliografia

• [1] J. Eschmeier, Analytic spectral mapping theorems for joint spectra, in: Operators in Indefinite Metric Spaces, Scattering Theory and Other Topics (Bucharest, 1985), H. Helson, B. Sz.-Nagy, F. H. Vasilescu and D. Voiculescu (eds.), Oper. Theory Adv. Appl. 24, Birkhäuser, Basel, 1987, 167-181.
• [2] R. Harte, Invertibility, singularity and Joseph L. Taylor, Proc. Roy. Irish Acad. Sect. A 81 (1981), 71-79.
• [3] V. Kordula and V. Müller, Vasilescu-Martinelli formula for operators in Banach spaces, Studia Math. 113 (1995), 127-139.
• [4] M. Putinar, Some invariants for semi-Fredholm systems of essentially commuting operators, J. Operator Theory 8 (1982), 65-90.
• [5] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191.