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...
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 |
Similar Items
-
m-isometric generalised derivations
by: Duggal B.P., et al.
Published: (2022-10-01) -
Nilpotent perturbations of m-isometric and m-symmetric tensor products of commuting d-tuples of operators
by: Duggal Bhagwati Prashad, et al.
Published: (2024-11-01) -
On (m, P)-expansive operators: products, perturbation by nilpotents, Drazin invertibility
by: Duggal B.P.
Published: (2021-11-01) -
Structure of n-quasi left m-invertible and related classes of operators
by: Duggal Bhagwati Prashad, et al.
Published: (2020-10-01) -
Trace-Class and Nuclear Operators
by: Kubrusly Carlos S.
Published: (2022-05-01)