Abstract
We consider interpolation spacesG θ,p between the spaceG 1 of nuclear operators and the spaceG ∞ of completely continuous operators in a Hilbert space. We obtain an exact expression for the norm of an operator ofG θ,p by means of its approximation numbers. We consider the question of separability of the symmetric normed ideals ofG θ,p , and the question of the duals to these s.n. ideals.
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Translated from Matematicheskii Zametki, Vol. 17, No. 2, pp. 293–300, February, 1975.
In conclusion the author wishes to thank P. P. Lizorkin and the participants of the seminar he guided for this discussion of this paper.
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Miroshin, N.V. Properties of interpolation spaces of completely continuous operators. Mathematical Notes of the Academy of Sciences of the USSR 17, 169–173 (1975). https://doi.org/10.1007/BF01161875
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DOI: https://doi.org/10.1007/BF01161875