Projections of normed linear spaces with closed subspaces of finite codimension as kernels
- PDF / 202,961 Bytes
- 6 Pages / 595 x 842 pts (A4) Page_size
- 28 Downloads / 241 Views
1∗ 2
!" 1
#$% & % ' () # % * % +' (, - ./ ' () 0,$ 12 2 31$4 %5 1' 6 78 4 ! ,9+ !' : 0,$ 2 1, ! ! " # $ % ! &'(
%$$; % "' -" +" $ n, $ / X → X ' % $ f (n) + ε 0 =' ; f (n) =
√ 2 + (n − 1) n + 2 . n+1
? 8 f (n) < √n % n > 1' f (n) =
√
1 n− √ +O n
1 . n
0
"
f (n) + ε
# $ %&
#
f (n)
f (n) + ε
'
X
"
X∗
n ≥ 1 X cn (X) n Y n X ∗ P : X ∗ → X ∗ Y n P < cn (X)
n Xn X Q : X → X 1 + cn (X) %&(
) " " * + , + - . /
Q 0 R := I − Q : X → X R < cn (X) %&( # Q = I − R < 1 + cn (X) # %
#
%&( - n Xn X R : X → X cn (X) 1 # %2 3 "
4 # % # %2
' 3 5 0 0 3 5 0
X
X∗
"
6 3
" 7 8' # $ #
6 7 9 " # %2 9 7 # $
5 9 7 "
n:
9
)
"
n ≥ 1 X, X n dim X = n Q : X → X n ! ε > 0
S : X n → X QS X n
Data Loading...