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Abstract. We study the relative position of three subspaces in an infinite-dimensional Hilbert space. In the finite-dimensional case over an arbitrary field, Brenner described the general position of three subspaces completely. We extend it to a certain class of three subspaces in an infinite-dimensional Hilbert space over the complex numbers.
DOI: 10.14232/actasm-018-821-x
AMS Subject Classification
(1991): 46C07, 47A15, 15A21, 16G20, 16G60
Keyword(s):
three subspaces,
Hilbert space
Received August 6, 2018 and in final form November 25, 2018. (Registered under 71/2018.)
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