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Some more spaces satisfying Grothendieck’s theorem. (English. Russian original) Zbl 0847.46008
St. Petersbg. Math. J. 7, No. 1, 53-76 (1996); translation from Algebra Anal. 7, No. 1, 62-91 (1995).
Summary: The methods leading to the analog of Grothendieck’s theorem for the disk-algebra turn out to be applicable to some other Banach spaces, namely, to certain spaces of the form \(X_\Lambda= \{f\in C(\mathbb{T}): \widehat f(n)= 0\) for \(n\not\in \Lambda\}\), as well as to the tensor product of the disk-algebra by an arbitrary space with reflexive annihilator.

MSC:
46E15 Banach spaces of continuous, differentiable or analytic functions
46J10 Banach algebras of continuous functions, function algebras
47L20 Operator ideals
42A45 Multipliers in one variable harmonic analysis
42A50 Conjugate functions, conjugate series, singular integrals
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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