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Charakterisierungen zeilenendlicher Matrizen mit abzählbarem Spektrum. (English) Zbl 0554.47015
See the preview in Zbl 0537.47016.

47B37Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
46A45Sequence spaces
47A10Spectrum and resolvent of linear operators
Full Text: DOI EuDML
[1] Deimling, K.: Ordinary Differential Equations in Banach Spaces. Berlin-Heidelberg-New York: Springer 1977 · Zbl 0361.34050
[2] Hille, E.: Pathology of infinite systems of linear first order differential equations with constant coefficients. Ann. Mat. Pura Appl.55, 133-148 (1961) · Zbl 0113.06905 · doi:10.1007/BF02412080
[3] Körber, K.H.: Das Spektrum zeilenfiniter Matrizen. Math. Ann.181, 8-34 (1969) · Zbl 0211.44301 · doi:10.1007/BF01351175
[4] Lobanov, S.G.: Solvability of Linear Ordinary Differential Equations in Locally Convex Spaces. Vest. Mosk. Univ. Mat.35, 3-7 (1980) · Zbl 0461.34046
[5] Schaefer, H.H.: Topological Vector Spaces. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0212.14001
[6] Ulm, H.: Elementarteilertheorie unendlicher Matrizen. Math. Ann.114, 493-505 (1937) · Zbl 63.0075.02 · doi:10.1007/BF01594190
[7] Williamson, J.H.: Spectral representation of linear transformations in ?. Proc. Cambridge Philos. Soc.47, 461-472 (1951) · Zbl 0042.12201 · doi:10.1017/S0305004100026852