Abstract
Let L 0 = L 0 (Ω, [sum ], μ) denote the vector space of (equivalence classes of) measurable functions on a measure space (Ω, [sum ], μ), taking values in a finite-dimensional Hilbert space H . We give L 0 the topology τ 0 of local convergence in measure[ratio ]τ 0 is a complete vector space topology, with base of neighbourhoods formula here where formula here
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More From: Mathematical Proceedings of the Cambridge Philosophical Society
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