Extension of Finite Rank Operators and Operator Ideals with the Property (I)

2002 ◽  
Vol 238 (1) ◽  
pp. 144-159
Author(s):  
Frank Oertel
Keyword(s):  
Finite Rank ◽  
Operator Ideals ◽  
Finite Rank Operators

scholarly journals On strictly quasi-Fredholm linear relations and semi-B-Fredholm linear relation perturbations

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6337-6355 ◽  
Author(s):  
Bouaniza Hafsa ◽  
Maher Mnif
Keyword(s):  
Finite Rank ◽  
Linear Relation ◽  
Linear Relations ◽  
Finite Rank Operators ◽  
Lower Semi ◽  
The Stability

In this paper we introduce the set of strictly quasi-Fredholm linear relations and we give some of its properties. Furthermore, we study the connection between this set and some classes of linear relations related to the notions of ascent, essentially ascent, descent and essentially descent. The obtained results are used to study the stability of upper semi-B-Fredholm and lower semi-B-Fredholm linear relations under perturbation by finite rank operators.

scholarly journals Approximation by finite rank operators

1981 ◽  
Vol 33 (3) ◽  
pp. 199-213 ◽  
Author(s):  
Frank Deutsch ◽  
Jaroslav Mach ◽  
Klaus Saatkamp
Keyword(s):  
Finite Rank ◽  
Finite Rank Operators

Range Inclusion for Multilinear Mappings: Applications

1985 ◽  
Vol 28 (3) ◽  
pp. 317-320
Author(s):  
C. K. Fong
Keyword(s):  
Hilbert Space ◽  
Finite Rank ◽  
Trace Class ◽  
Inner Derivation ◽  
Finite Rank Operators ◽  
Multilinear Mappings ◽  
Trace Class Operators ◽  
The Ideal

AbstractThe result of S. Grabiner [5] on range inclusion is applied for establishing the following two theorems: 1. For A, B ∊ L(H), two operators on the Hilbert space H, we have DBC0(H) ⊆ DAL(H) if and only if DBC1(H) ⊆ DAL(H), where DA is the inner derivation which sends S ∊ L(H) to AS - SA, C1(H) is the ideal of trace class operators and C0(H) is the ideal of finite rank operators. 2. (Due to Fialkow [3]) For A, B ∊ L(H), we write T(A, B) for the map on L(H) sending S to AS - SB. Then the range of T(A, B)is the whole L(H) if it includes all finite rank operators L(H).

scholarly journals Spatial Numerical Range of Operators on Weighted Hardy Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Abdolaziz Abdollahi ◽  
Mohammad Taghi Heydari
Keyword(s):  
Hardy Spaces ◽  
Finite Rank ◽  
Numerical Range ◽  
Compact Operators ◽  
Weighted Hardy Spaces ◽  
Finite Rank Operators

We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators. We also prove that the spatial numerical range of finite rank operators on weighted Hardy spaces is star shaped; though, in general, it does not need to be convex.

On finite rank operators in CSL algebras III

2002 ◽  
Vol 17 (3) ◽  
pp. 301-306
Author(s):  
Peixin Chen ◽  
Shijie Lu ◽  
Changli Tao
Keyword(s):  
Finite Rank ◽  
Finite Rank Operators

scholarly journals On Finite Rank Operators on Centrally Closed Semiprime Rings

2014 ◽  
Vol 04 (09) ◽  
pp. 499-505
Author(s):  
J. C. Cabello ◽  
R. Casas ◽  
P. Montiel
Keyword(s):  
Finite Rank ◽  
Finite Rank Operators ◽  
Semiprime Rings

Finite Rank Operators

2000 ◽  
pp. 5-23
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Nahum Krupnik
Keyword(s):  
Finite Rank ◽  
Finite Rank Operators
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