A Unified Approach to Various Notions of Derivation

Khotanloo, A.; Esslamzadeh, G. H.; Shourijeh, B. Tabatabaie

doi:10.1007/s40995-019-00742-0

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

2021

Publication Types

Select...

Article2

Other1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Required notes on various definitions of derivation are appeared at the beginning of each section. Most authors refer to [14] as one of their main references to introduce the subject, we may also refer the interested reader to [8,12,13] for historical background, collections of generalizations, different areas involving with derivations.…”

Section: Introductionmentioning

confidence: 99%

Generalized shifts through derivations' concept in $\ell^p(τ)$ spaces

Arzanesh¹,

Shirazi²,

Hosseini³

2021

Preprint

View full text Add to dashboard Cite

In the following text for p ∈ [1, ∞], nonzero cardinal number τ , self-map ϕ : τ → τ if there exists N ∈ N such that ϕ −1 (α) has at most N elements for each α < τ , and operators ψ, λ :• is a (ψ, λ)−derivation if and only if there exists r ∈ C τ with ψ = rσϕ ↾ ℓ p (τ ) and λ = ((1)α<τ − r)σϕ ↾ ℓ p (τ ) ,• is a ψ−derivation if and only if ψ = 1 2 σϕ ↾ ℓ p (τ ) , • is not a (Jordan, Jordan triple) derivation.• is a generalized (Jordan, Jordan triple) derivation if and only if ϕ = idτ .

show abstract

Section: Introductionmentioning

confidence: 99%