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Norm derivatives on spaces of operators. (English) Zbl 0398.47013


MSC:

47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
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References:

[1] Day, M.: Normed linear spaces. Berlin-Heidelberg-New York: Springer 1962 · Zbl 0100.10802
[2] Giles, J. R.: On a characterization of differentiability of the norm of a normed linear space. J. Aus. Math. Soc.12, 106-114 (1971) · Zbl 0207.43901
[3] Hewitt, E., Stromberg, K.: Real and abstract analysis. Berlin-Heidelberg-New York: Springer 1969 · Zbl 0225.26001
[4] Holmes, R.B., Scranton, B., Ward, J.: Approximation from the space of compact operators and otherM-ideals. Duke Math. J.42, (1975) · Zbl 0332.47024
[5] Holmes, R. B.: Geometric functional analysis and its applications. Berlin-Heidelberg-New York: Springer 1975 · Zbl 0336.46001
[6] Holub, J. R.: On the metric geometry of ideals of operators on Hilbert space. Math. Ann.201, 157-163 (1973) · Zbl 0234.47045
[7] McCarthy, C.:c p , Israel J. Math.5, 249-271 (1967)
[8] Reed, M., Simon, B.: Functional analysis. Vol. 1, New York-London: Academic Press 1972 · Zbl 0242.46001
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