On the selection of basic orthogonal sequences in non-archimedean metrizable locally convex spaces
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Date
2002
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The Belgian Mathematical Society
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Abstract
Our main result follows that any infinite-dimensional sub-space F of a non-archimedean metrizable locally convex space E with an or-
thogonal basis (e_n) contains a basic orthogonal sequence equivalent to a block
basic orthogonal sequence relative to (e_n). Hence any infinite-dimensional non-archimedean metrizable locally convex space F has a basic orthogonal sequence equivalent to a block basic orthogonal sequence
relative to an orthogonal basis in c_0^N.
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Keywords
orthogonal bases, block basic orthogonal sequences
Citation
Bull. Belg. Math. Soc. 9 (2002), 631-635.