Invariant subspaces of Lorentz type for unbounded operators on interpolation spaces |
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| Author |
tluczekr@atena.univ.rzeszow.pl
Rzeszów University,
,16C Rejtana str, 35-959 Rzeszów, Poland
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| Abstract |
Unbounded operators on intermediate spaces of Banach spaces generated by the method of real interpolation are investigated. Invariant subspaces of Lorentz type for such unbounded operators are described.
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| Keywords |
unbounded operator, intermediate space, real interpolation
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| DOI |
doi:10.30970/ms.22.1.67-72
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Reference |
1. Bergh J., Löfström J. 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. Dmytryshyn M., Lopushansky O. Interpolation of spectral subspaces of unbounded operators in Banach spaces, Demonstratio Mathematica, 47 (2004), 89–129. 4. Lopushansky O., Dmytryshyn M. Approximation spaces between Banach space and exponential type vectors, Math. Methods & Phys-Mech. Fields, 46, no.3, (2003), 54–60. 5. Никольский С.М. Приближение функций многих переменных и теоремы вложения, М.: Наука, 1977, 456 с. 6. Triebel H. Interpolation theory. Function spaces. Differential operators, Springer-Verlag, Berlin-Heidelberg-New-York-Tokyo, 1995. |
| Pages |
67-72
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| Volume |
22
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| Issue |
1
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| Year |
2004
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| Journal |
Matematychni Studii
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