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Can anyone give me an example of an bounded and linear operator T:l^infty---->l^infty$T:\ell^\infty\to \ell^\infty$( thethe space of bounded sequences with the usual sup-norm), such that T has dense range, but is not surjective.?
Can anyone give me an example of an bounded and linear operator T:l^infty---->l^infty( the space of bounded sequences with the usual sup-norm), such that T has dense range, but is not surjective.
Can anyone give me an example of an bounded and linear operator $T:\ell^\infty\to \ell^\infty$(the space of bounded sequences with the usual sup-norm), such that T has dense range, but is not surjective?
