Some remarks on Hilbert representations of posets

Authors

  • V. I. Rabanovich Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
  • V. L. Ostrovskyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine

DOI:

Keywords:

Representations of posets, orthoscalar representations

Abstract

For a certain class of finite posets, we prove that all their irreducible orthoscalar representations are finite-dimensional and describe those, for which there exist essential (non-degenerate) irreducible orthoscalar representations.

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Published

2014-06-25

Issue

Vol. 20 No. 2 (2014)

Section

Articles

How to Cite

Rabanovich, V. I., and V. L. Ostrovskyi. “Some Remarks on Hilbert Representations of Posets”. Methods of Functional Analysis and Topology, vol. 20, no. 2, June 2014, pp. 149–163, https://zen.imath.kiev.ua/index.php/mfat/article/view/575.