Lorentz type invariant subspaces of unbounded operators in banach spaces |
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| Author |
tluczekr@atena.univ.rzeszow.pl
Institute of Mathematics, Rzeszów University
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| Abstract |
The interpolation properties of Lorentz type invariant subspaces of unbounded operators in Banach spaces are studied.
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| Keywords |
invariant subspace, unbounded operator, Banach space
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| DOI |
doi:10.30970/ms.24.1.107-110
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Reference |
1. J. Bergh and J. Löfström, Interpolation Spaces, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1976.
2. Dunford N., Schwartz J.~T., Linear Operators, Part I: General Theory, Interscience, New York, 1957. 3. Lopushansky O., Dmytryshyn M., Operator calculus on the exponential type vectors of the operator with point spectrum (in "General Topology in Banach Spaces"), Nova Sci. Publ., Huntingon, New York, 2001. 4. Tuczek R., Invariant subspaces of Lorentz type for unbounded operators on interpolation spaces, Matem. Studii (Proc. Lviv Math. Soc.) 22 (2004), no.~1, 67--72. 5. Triebel H., Interpolation Theory. Function Spaces. Differential Operators., Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1995. |
| Pages |
107-110
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| Volume |
24
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| Issue |
1
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| Year |
2005
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| Journal |
Matematychni Studii
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| Full text of paper | |
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