Research Article
Year 2014,
Volume: 43 Issue: 5, 741 - 746, 01.10.2014
Abstract
In this paper we study the properties of bounded linear operators
namely Ap−class and A
∗
p−class operators that satisfy T
∗T ≤ (T
∗pT
p
)
1
p
and T T ∗ ≤ (T
∗pT
p
)
1
p respectively. We use some known operator inequalities and we show that if T ∈ B(H ) is an Ap−class or an A
∗
p−class
operator, then r(T) =k T k .
namely Ap−class and A
∗
p−class operators that satisfy T
∗T ≤ (T
∗pT
p
)
1
p
and T T ∗ ≤ (T
∗pT
p
)
1
p respectively. We use some known operator inequalities and we show that if T ∈ B(H ) is an Ap−class or an A
∗
p−class
operator, then r(T) =k T k .
References
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There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | October 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 5 |