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Characterizations of certain classes of norms. (English) Zbl 0164.17603


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[1] Bauer, F. L.: On the field of values subordinate to a norm. Numer. Math.4, 103–113 (1962). · Zbl 0117.11004 · doi:10.1007/BF01386300
[2] Witzgall, C.: Appendix to [1].
[3] Bauer, F. L., andC. T. Fike: Norms and exclusion theorems. Numer. Math.2, 137–141 (1960). · Zbl 0101.25503 · doi:10.1007/BF01386217
[4] —-,J. Stoer, andC. Witzgall: Absolute and monotonic norms. Numer. Math.3, 257–264 (1961). · Zbl 0111.01602 · doi:10.1007/BF01386026
[5] Eggleston, H. G.: Convexity. Cambridge: Cambridge University Press 1958.
[6] Gries, D.: Über einige Klassen von Normen. Diss. Technische Hochschule München, Juni 1966.
[7] –, andJ. Stoer: Some results on fields of values of a matrix. Rechenzentrum der Technischen Hochschule München. Bericht Nr. 6607.
[8] Nirschl, N., andH. Schneider: The Bauer fields of values of a matrix. Numer. Math.6, 355–365 (1964). · Zbl 0126.32102 · doi:10.1007/BF01386085
[9] Ostrowski, A.: Über Normen von Matrizen. Math. Z.63, 2–18 (1955) · Zbl 0065.24701 · doi:10.1007/BF01187920
[10] – On some metrical properties of operator matrices and matrices partitioned into blocks. MRC Technical Summary Report No. 138. University of Wisconsin 1960.
[11] Sallin, E. A.: Bounds for iterates, inverses and spectral variation of non-normal matrices. Ph.D. Diss. University of California, Los Angeles 1963
[12] Stoer, J., andC. Witzgall: Transformation by diagonal matrices in a normed space. Numer. Math.4, 158–171 (1962). · Zbl 0117.11101 · doi:10.1007/BF01386309
[13] —- On the characterization of least upperbound norms in matrix space. Numer Math.6, 302–314 (1964). · Zbl 0126.32101 · doi:10.1007/BF01386078
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