Vectors of exponential type of operators with discrete spectrum |
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| Author |
Institute of Applied Problems of Mechanics and Mathematics,Lviv
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| Abstract |
In this paper root vectors of a linear operator
on Banach space with discrete spectrum are described in terms of vectors
of exponential type. An application in the investigation of analyticity
properties of the root functions of elliptic boundary value problems
is given.
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| Keywords |
root vectors, linear operator, Banach space, discrete spectrum, vectors of exponential type
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| DOI |
doi:10.30970/ms.9.1.70-77
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Reference |
1. . Hille E., Phillips R.S. Functional analysis and semigroups ,addr American Mathematical Society Colloquium Publication V. 31, Providence, R. I.– 1957
2. Dunford N., Schwartz J.Ò. Linear operators. Part I: General theory,addr New York, London, Intersci. Publishers–1958 3. Лопушанський О.В. Операторне числення на ультрагладких векторах. Укр. мат. журн. -- 1992. -- Т.44, №4. -- С.502–513. 4. Лопушанський О.В. Локально опуклі алгебри III. Функціональне числення на піврегулярному спектрі. Препринт АН України. Ін-т прикл. проблем механіки і математики. 6-93. -- Львів, 1993. 5. Schaefer H.H. Topological vector spaces,addr New York , the Macmillan Company– 1966 6. Triebel H. Interpolation theory. Function spaces. Differential operators,addr Berlin, Veb Deuscher Verlag– 1978 |
| Pages |
70-77
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| Volume |
9
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| Issue |
1
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| Year |
1998
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| Journal |
Matematychni Studii
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| Full text of paper | |
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