×

On the field of values subordinate to a norm. (English) Zbl 0117.11004


PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bauer, F. L.: Wertevorrat eines Hauptabschnitts einer normalen Matrix. Jahresbericht der DMV63, 180-182 (1961). · Zbl 0114.25104
[2] Bonnesen, T., u.W. Fenchel: Theorie der konvexen Körper. Berlin: Springer 1934. · Zbl 0008.07708
[3] Collatz, L.: Fehlerabschätzung für das Iterationsverfahren zur Auflösung linearer Gleichungssysteme. Z. angew. Math. Mech.22, 357-361 (1942). · Zbl 0028.01501 · doi:10.1002/zamm.19420220607
[4] Eggleston, H. G.: Convexity. Cambridge: Cambridge University Press 1958.
[5] Hausdorff, F.: Der Wertevorrat einer Bilinearform. Math. Z.3, 314-316 (1919). · JFM 47.0088.02 · doi:10.1007/BF01292610
[6] Kippenhahn, R.: Über den Wertevorrat einer Matrix. Math. Nachr.6, 193-228 (1951). · Zbl 0044.16201 · doi:10.1002/mana.19510060306
[7] Köthe, G.: Topologische lineare Räume, Bd. I. Berlin-Göttingen-Heidelberg: Springer 1960.
[8] Lefschetz, S.: Introduction to topology. Princeton: Princeton University Press 1949. · Zbl 0041.51801
[9] Murnaghan, F. D.: On the field of values of a square matrix. Proc. Nat. Acad. Sci. U.S.A.18, 246-248 (1932). · Zbl 0004.05003 · doi:10.1073/pnas.18.3.246
[10] Ostrowski, A.: Über Normen von Matrizen. Math. Z.63, 2-18 (1955). · Zbl 0065.24701 · doi:10.1007/BF01187920
[11] Parker, W. V.: Characteristic roots and fields of value of a matrix. Bull. Amer. Math. Soc.57, 103-108 (1951). · Zbl 0042.25101 · doi:10.1090/S0002-9904-1951-09477-X
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.