References
E. Albrecht, Der spektrale Abbildungssatz für nichtanalytische Funktionalkalküle in mehreren Veränderlichen. Manuscripta Math.14, 263–277 (1974).
E. Albrecht andF. H. Vasilescu, Non-analytic local spectral properties in several variables. Czechoslovak Math. J.24, 430–443 (1974).
B. Bollobás, The spectral decomposition of compact Hermitian operators on Banach spaces. Bull. London Math. Soc.5, 20–36 (1973).
J. J. Buoni, R. Harte andT. Wickstead, Upper and lower Fredholm spectra. Proc. Amer. Math. Soc.66, 309–314 (1977).
I.Colojoară and C.Foias, Theory of generalized spectral operators. New York-London-Paris 1968.
H. R.Dowson, Spectral theory of linear operators. London Math. Soc. Monograph No. 12, New York 1978.
N.Dunford and J. T.Schwartz, Linear operators I. New York 1958.
V.Ferenczi, Operators on subspaces of hereditarily indecomposable Banach spaces. Preprint 1995.
W. T. Gowers andB. Maurey, The unconditional basic sequence problem. J. Amer. Math. Soc.6, 851–874 (1993).
E.Hewitt and K. A.Ross, Abstract harmonic analysis I, 2nd Edition. Berlin-Heidelberg-New York 1979.
E. Hille andR. S. Phillips, Functional analysis and semigroups. Amer. Math. Soc. Publ., Providence 1957.
T.Kato, Perturbation theory for linear operators, 2nd Printing. Berlin-Heidelberg-New York 1976.
U.Krengel, Ergodic theorems. Berlin-New York 1985.
J.Lindenstrauss and L.Tzafriri, Classical Banach spaces I. Sequence spaces. Berlin-Heidelberg-New York 1977.
H. P. Lotz, Uniform convergence of operators onL ∞ and similar spaces. Math. Z.190, 207–220 (1985).
P. Masani, Ergodic theorems for locally integrable semigroups of continuous linear operators on a Banach space. Adv. in Math.21, 202–228 (1976).
R.Nagel et al., One-parameter semigroups of positive operators. Berlin-Heidelberg-New York 1986.
R. Nagel andS. Huang, Spectral mapping theorems forC 0-groups satisfying non-quasi-analytic growth conditions. Math. Nachr.169, 207–218 (1994).
J.van Neerven, The adjoint of a semigroup of linear operators. Berlin-Heidelberg-New York 1992.
A.Pazy, Semigroups of linear operators and applications to partial differential equations. Berlin-Heidelberg-New York 1983.
A.Pietsch, Operator ideals. Amsterdam-New York-Oxford 1980.
W. J. Ricker, Well-bounded operators of type (B) in H.I. spaces. Acta Sci. Math. (Szeged)59, 475–488 (1994).
M.Zarrabi, Spectral synthesis and applications toC 0-groups. Preprint.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
RÄbiger, F., Ricker, W.J. C 0-groups andC 0-semigroups of linear operators on hereditarily indecomposable Banach spaces. Arch. Math 66, 60–70 (1996). https://doi.org/10.1007/BF01323983
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01323983