Tensor products of regularly varying sequences

Albrecht Pietsch

Mathematische Nachrichten, 2018, vol. 291, issue 1, 109-127

Abstract: We investigate how asymptotic properties of real sequences s=(σm) and t=(τn) are passed on to their tensor product s⊗t=(σmτn). The main result concerns sequences of the form xγϱ:=((1+log2ℓ)γℓϱ)withℓ=1,2,⋯,ϱ>0,andγ∈R.This problem is closely related to tensor stability of operator ideals on the Hilbert space.

Date: 2018
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