Contractions without non-trivial invariant subspaces satisfying a positivity condition

Contractions without non-trivial invariant subspaces satisfying a positivity condition

Abstract An operator A ∈ B ( H ) $A\in B(\mathcal{H})$ , the algebra of bounded linear transformations on a complex infinite dimensional Hilbert space H $\mathcal{H}$ , belongs to class A ( n ) $\mathcal{A}(n)$ (resp., A ( ∗ − n ) $\mathcal{A}(*-n)$ ) if | A | 2 ≤ | A n + 1 | 2 n + 1 $\vert A\vert^{...

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Bibliographic Details
Main Authors: Bhaggy Duggal, In Ho Jeon, In Hyoun Kim
Format: Article
Language:English
Published: SpringerOpen 2016-04-01
Series:Journal of Inequalities and Applications
Subjects:
class A ( n ) $\mathcal{A}(n)$ operator
class A ( ∗ − n ) $\mathcal{A}(*-n)$ operator
P ( n ) $\mathcal{P}(n)$ operator
class P ( ∗ − n ) $\mathcal{P}(*-n)$ operator
contraction
proper contraction
Online Access:http://link.springer.com/article/10.1186/s13660-016-1058-4

Internet

http://link.springer.com/article/10.1186/s13660-016-1058-4

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