Linear Operators, Part 1 |
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Page 145
A sequence of functions { In } defined on S with values in X converges u -
uniformly if for each ε > 0 there is a set E € £ such that v ( u , E ) < ε and such that {
fn } converges uniformly on S- E. The sequence { In } converges u - uniformly to
the ...
A sequence of functions { In } defined on S with values in X converges u -
uniformly if for each ε > 0 there is a set E € £ such that v ( u , E ) < ε and such that {
fn } converges uniformly on S- E. The sequence { In } converges u - uniformly to
the ...
Page 314
A subset K of ba ( S , ) is weakly sequentially compact if and only if there exists a
non - negative u in ba ( S , E ) such that lim 2 ( E ) = 0 H ( E ) = 0 uniformly for î € K
. Proor . Let KC ba ( S , E ) be weakly sequentially compact and let V = UT be ...
A subset K of ba ( S , ) is weakly sequentially compact if and only if there exists a
non - negative u in ba ( S , E ) such that lim 2 ( E ) = 0 H ( E ) = 0 uniformly for î € K
. Proor . Let KC ba ( S , E ) be weakly sequentially compact and let V = UT be ...
Page 360
which vanishes in a neighborhood of a point p the sequence ( Sf ) ( x ) converges
to zero uniformly for x in some neighborhood of p . 21 Show that if | S7 En ( x , x )
dz | M , then the convergence of Snf for a given c.o.n. system is localized if and ...
which vanishes in a neighborhood of a point p the sequence ( Sf ) ( x ) converges
to zero uniformly for x in some neighborhood of p . 21 Show that if | S7 En ( x , x )
dz | M , then the convergence of Snf for a given c.o.n. system is localized if and ...
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Contents
Preliminary Concepts | 1 |
The VitaliHahnSaks Theorem and Spaces of Measures | 7 |
B Topological Preliminaries | 10 |
Copyright | |
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