Compact operators and the singular value expansion

2016 ◽  
pp. 123-224
Keyword(s):  
Compact Operators ◽  
Singular Value

STRUCTURE THEOREM FOR -OPERATORS

2014 ◽  
Vol 96 (3) ◽  
pp. 386-395 ◽  
Author(s):  
G. RAMESH
Keyword(s):  
Singular Value Decomposition ◽  
Compact Operator ◽  
Hilbert Spaces ◽  
Structure Theorem ◽  
Bounded Operator ◽  
Compact Operators ◽  
Singular Value ◽  
Scalar Multiple ◽  
Value Decomposition

AbstractIn this paper we prove a structure theorem for the class of $\mathcal{AN}$-operators between separable, complex Hilbert spaces which is similar to that of the singular value decomposition of a compact operator. Apart from this, we show that a bounded operator is $\mathcal{AN}$ if and only if it is either compact or a sum of a compact operator and scalar multiple of an isometry satisfying some condition. We obtain characterizations of these operators as a consequence of this structure theorem and deduce several properties which are similar to those of compact operators.

scholarly journals Singular value inequalities for compact operators

2012 ◽  
Vol 437 (10) ◽  
pp. 2516-2522 ◽  
Author(s):  
Wasim Audeh ◽  
Fuad Kittaneh
Keyword(s):  
Compact Operators ◽  
Singular Value
Sign in / Sign up

Export Citation Format

Share Document