
Continuous linear functionals on certain topological vector spaces
... On the other hand if p ^ 1 in Day's problem then M | / | V is a norm on V which gives rise to the well known Banach space LP(X, m), and of course a Banach space has nonzero continuous linear functionals by the Hahn-Banach Theorem. Observe that the Banach space LP(X, m) and the examples of Banach and ...
... On the other hand if p ^ 1 in Day's problem then M | / | V is a norm on V which gives rise to the well known Banach space LP(X, m), and of course a Banach space has nonzero continuous linear functionals by the Hahn-Banach Theorem. Observe that the Banach space LP(X, m) and the examples of Banach and ...