scholarly journals The unicity of best approximation in a space of compact operators

2010 ◽  
Vol 17 (5) ◽  
pp. 807-820
Author(s):  
Joanna Kowynia
Keyword(s):  
Best Approximation ◽  
Compact Operators ◽  
Space Of Compact Operators

scholarly journals The unicity of best approximation in a space of compact operators

2011 ◽  
Vol 108 (1) ◽  
pp. 146
Author(s):  
Joanna Kowynia
Keyword(s):  
Best Approximation ◽  
Compact Operators ◽  
Chebyshev Subspace ◽  
Space Of Compact Operators

Chebyshev subspaces of $\mathcal{K}(c_0,c_0)$ are studied. A $k$-dimensional non-interpolating Chebyshev subspace is constructed. The unicity of best approximation in non-Chebyshev subspaces is considered.

scholarly journals Best approximation by diagonal compact operators

2013 ◽  
Vol 439 (10) ◽  
pp. 3044-3056 ◽  
Author(s):  
Tamara Bottazzi ◽  
Alejandro Varela
Keyword(s):  
Best Approximation ◽  
Compact Operators

On the Non-Existence of a Projection onto the Space of Compact Operators

1982 ◽  
Vol 25 (1) ◽  
pp. 78-81 ◽  
Author(s):  
Moshe Feder
Keyword(s):  
Banach Spaces ◽  
Compact Operators ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Space Of Compact Operators

AbstractLet X and Y be Banach spaces, L(X, Y) the space of bounded linear operators from X to Y and C(X, Y) its subspace of the compact operators. A sequence {Ti} in C(X, Y) is said to be an unconditional compact expansion of T ∈ L (X, Y) if ∑ Tix converges unconditionally to Tx for every x ∈ X. We prove: (1) If there exists a non-compact T ∈ L(X, Y) admitting an unconditional compact expansion then C(X, Y) is not complemented in L(X, Y), and (2) Let X and Y be classical Banach spaces (i.e. spaces whose duals are some LP(μ) spaces) then either L(X, Y) = C(X, Y) or C(X, Y) is not complemented in L(X, Y).

Approximation from the space of compact operators and other $M$ -ideals

1975 ◽  
Vol 42 (2) ◽  
pp. 259-269 ◽  
Author(s):  
Richard Holmes ◽  
Bruce Scranton ◽  
Joseph Ward
Keyword(s):  
Compact Operators ◽  
Space Of Compact Operators

scholarly journals Chebyshev subspaces in the space of compact operators

1975 ◽  
Vol 15 (4) ◽  
pp. 326-334 ◽  
Author(s):  
David A Legg ◽  
Bruce E Scranton ◽  
Joseph D Ward
Keyword(s):  
Compact Operators ◽  
Space Of Compact Operators
Sign in / Sign up

Export Citation Format

Share Document