m-Isometric tensor products

Given Banach space operators Si{S}_{i} and Ti{T}_{i}, i=1,2i=1,2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S1⊗S2,T1⊗T2)\left({S}_{1}\otimes {S}_{2},{T}_{1}\otimes {T}_{2}) is strictly mm-isometric, i.e., ΔS1⊗S2,T1⊗T2m(I⊗I...

Full description

Bibliographic Details
Main Authors: Duggal Bhagawati Prashad, Kim In Hyoun
Format: Article
Language:English
Published: De Gruyter 2023-05-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2022-0142