Relative position of three subspaces in a Hilbert space

Masatoshi Enomoto; Yasuo Watatani

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arXiv · 1407.6852

Relative position of three subspaces in a Hilbert space

Masatoshi Enomoto·Yasuo Watatani

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Abstract

We study the relative position of three subspaces in a separable infinite-dimensional Hilbert space. In the finite-dimensional case, 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. We also give a partial result which gives a condition on a system to have a (dense) decomposition containing a pentagon.

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Masatoshi Enomoto, Yasuo Watatani. 2014-10-14. Relative position of three subspaces in a Hilbert space. https://arxiv.org/abs/1407.6852

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