On Arens regularity of projective tensor product of Schatten spaces
نویسندگان
چکیده
We discuss Arens regularity of the projective tensor product Banach algebras consisting Schatten class operators. More precisely, exploiting Ülger’s biregularity criterion, we prove that for any Hilbert space ℋ, Sp(ℋ)⊗γ Sq (ℋ) and B(S2(ℋ))⊗γ S2(ℋ) are not regular every pair 1≤p,q≤2; whereas, when ℋ is separable equipped with Schur product, show completely continuous S2(ℋ)⊗γ regular.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2021
ISSN: ['0035-7596', '1945-3795']
DOI: https://doi.org/10.1216/rmj.2021.51.1433