Any non zero bounded linear functional on a Banach space is an open map.
False.
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Every bounded linear map on a complex Banach space has an eigen value.
Let A be an operator on a Hilbert space .H Show if Ax A x ∗ = for every ,H x ∈ then A is normal. Is it converse true? Justify
Show that Q defined on by
dt)t(xt is a bounded linear functional. Calculate
.
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