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On the Landau-Kallman-Rota inequality. (English) Zbl 0238.47007


MSC:

47A30 Norms (inequalities, more than one norm, etc.) of linear operators
26D10 Inequalities involving derivatives and differential and integral operators
47D03 Groups and semigroups of linear operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] Hille, E., Functional Analysis and Semi-Groups, (Amer. Math. Soc. Colloquium Publications, Vol. 31 (1948), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · Zbl 0229.39001
[2] Hille, E.; Phillips, R. S., Functional Analysis and Semi-Groups, (Amer. Math. Soc. Colloquium Publications, Vol. 31 (1957), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · Zbl 0078.10004
[3] Hille, E., Remark on the Landau-Kallman-Rota inequality, Aequationes Mat., 4, 239-240 (1970)
[4] Kallman, R. R.; Rota, G.-C, On the inequality ‖f′‖\(^2\) ⩽ 4 ‖f‖ ‖f″‖, (Shisha, O., Inequalities—II (1970), Academic Press: Academic Press New York)
[5] Kurepa, S., Remark on the Landau inequality, Aequationes Math., 4, 240-241 (1970)
[6] Kraljević, H.; Kurepa, S., Semi-groups on Banach spaces, Glasnik Mat., 5, 109-117 (1970) · Zbl 0202.42501
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