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Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M.

Interpolation of linear operators. Transl. from the Russian by J. Szuecs, ed. by Lev J. Leifman. (English) Zbl 0493.46058

Translations of Mathematical Monographs. Vol. 54. Providence, R.I.: American Mathematical Society (AMS). XII, 375 p. $ 71.20 (1982).
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Cited in 402 Documents

MSC:

46M35 Abstract interpolation of topological vector spaces
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

interpolation spaces; interpolation functor; interpolation in spaces of measurable functions; Lorentz and Marcinkiewicz spaces; scales of spaces; interpolation methods; complex interpolation; real interpolation; interpolation of spaces of smooth functions; smoothing approximation process; spaces of Sobolev and Besov type; trace theory

Citations:

Zbl 0164.437; Zbl 0344.46071; Zbl 0387.46033
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