scholarly journals Nonlinear eigenvalue approximation for compact operators

2015 ◽  
Vol 56 (11) ◽  
pp. 113512 ◽  
Author(s):  
Shari Moskow
Keyword(s):  
Compact Operators ◽  
Eigenvalue Approximation ◽  
Nonlinear Eigenvalue

Nonlinear eigenvalue approximation

1988 ◽  
Vol 52 (4) ◽  
pp. 365-375 ◽  
Author(s):  
William F. Moss ◽  
Philip W. Smith ◽  
Joseph D. Ward
Keyword(s):  
Eigenvalue Approximation ◽  
Nonlinear Eigenvalue

Corrigenda to “On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces”

2007 ◽  
Vol 14 (4) ◽  
pp. 807-808
Author(s):  
Giorgi Oniani
Keyword(s):  
Symmetric Function ◽  
Compact Operators ◽  
Function Spaces ◽  
J 13

Abstract Corrections to [Oniani, Georgian Math. J. 13: 501–514, 2006] are listed.

scholarly journals Operators constructed by means of basic sequences and nuclear matrices

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Ahmed Morsy ◽  
Nashat Faried ◽  
Samy A. Harisa ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Banach Spaces ◽  
Compact Operators ◽  
Schauder Basis ◽  
Countable Number ◽  
Nuclear Operator ◽  
Approximation Numbers ◽  
Infinite Dimensional ◽  
Dimensional Matrix ◽  
Nuclear Operators

AbstractIn this work, we establish an approach to constructing compact operators between arbitrary infinite-dimensional Banach spaces without a Schauder basis. For this purpose, we use a countable number of basic sequences for the sake of verifying the result of Morrell and Retherford. We also use a nuclear operator, represented as an infinite-dimensional matrix defined over the space $\ell _{1}$ℓ1 of all absolutely summable sequences. Examples of nuclear operators over the space $\ell _{1}$ℓ1 are given and used to construct operators over general Banach spaces with specific approximation numbers.

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