Sentence examples for unitary classification from inspiring English sources

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For these ∗-algebras the problem of unitary classification of all representations defined on some dense invariant domain is shown to be equivalent to the unitary classification of arbitrary families of bounded self-adjoint operators.

This considerably extends the similarity and unitary classification of homogeneous operators in the Cowen Douglas class obtained recently by the last author and A. Korányi.

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Of course none of this prevented various Sixteenth to Eighteenth-century authors from presenting unitary "Aristotelian" classifications of animals.

In this paper, we obtain a complete classification under unitary equivalence for Hardy submodules on the polydisk which are generated by ideals of polynomials.

The classification of unitary irreducible representations of G="Sp(n,1),(n⩾2), is done by Baldoni-Silva [Duke Math. J. 48 (3) (1981) 549 583].

We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle.

We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional versions of the Lie algebras so 2, n) have no unitary highest weight representations and thus do not meet the physical requirement of having positive energy.

Symmetry considerations lead to the classification of disordered zigzag ribbons into the unitary class for long-range impurities, and the orthogonal class for short-range impurities.

(B ) Classification of light-evoked responses into silent, unitary (single-peak) and complex responses, in control and in optogenetically stimulated hemispheres.

Particularly, the use of programmable quantum processors has been investigated to address machine learning tasks such as pattern matching [4], binary classification [5 8], feedback-adaptive quantum measurements [9], learning of unitary transformations [10], 'probably approximately correct' learning [11], and unsupervised clustering [12].

Also, using Gong and Dadarlatʼs classification theorem, we prove that such C⁎-algebras are isomorphic if and only if their unitary groups are isomorphic as topological groups.

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