Question
OO
Let l
x..
{x,} ,x, e Vi=1,..00; x
be the Banach space
х:х—
i=1
of absolutely summable sequences of real numbers. Consider the nonnegative orthant in this
-el,:x={4} Ax20 Vi= 1,) 1
space, i.e. the set
Vi=1,0. Is a cone? Is a set with an
interior?
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Transcribed Image Text

OO Let l x.. {x,} ,x, e Vi=1,..00; x be the Banach space х:х— i=1 of absolutely summable sequences of real numbers. Consider the nonnegative orthant in this -el,:x={4} Ax20 Vi= 1,) 1 space, i.e. the set Vi=1,0. Is a cone? Is a set with an interior?

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