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Consistent orthogonal atomic partitions. (English) Zbl 0855.06008

Summary: The present paper defines consistent orthogonal atomic partitions of two elements of an ortholattice. Then this notion is studied in the realm of ortholattices associated with a vector space with a scalar product over an ordered field.

MSC:

06C15 Complemented lattices, orthocomplemented lattices and posets
15A18 Eigenvalues, singular values, and eigenvectors
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