منابع مشابه
Blaschke- and Minkowski-endomorphisms of Convex Bodies
We consider maps of the family of convex bodies in Euclidean ddimensional space into itself that are compatible with certain structures on this family: A Minkowski-endomorphism is a continuous, Minkowski-additive map that commutes with rotations. For d ≥ 3, a representation theorem for such maps is given, showing that they are mixtures of certain prototypes. These prototypes are obtained by app...
متن کاملSimplicial Endomorphisms
A presentation by generators and relations is given for the monoids of endomorphisms in the simplicial category. These monoids are submonoids of monoids one finds in Temperley-Lieb algebras, and as the monoids of Temperley-Lieb algebras are linked to situations where an endofunctor is adjoint to itself, so the monoids of simplicial endomorphisms axiomatized here are linked to arbitrary adjoint ...
متن کاملEndomorphisms of Superelliptic Jacobians
Let K be a field of characteristic zero, n ≥ 5 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group contains a doubly transitive simple non-abelian group. Let p be an odd prime, Z[ζp] the ring of integers in the pth cyclotomic field, Cf,p : y p = f(x) the corresponding superelliptic curve and J(Cf,p) its jacobian. Assuming that either n = p + 1 or p does not divide ...
متن کاملEndomorphisms of B(H
The unital endomorphisms of B(H) of (Powers) index n are classified by certain U(n)-orbits in the set of non-degenerate representations of the Cuntz algebra On on H. Using this, the corresponding conjugacy classes are identified, and a set of labels is given. This set of labels is P/ ∼ where P is a set of pure states on the UHFalgebra Mn∞ , and ∼ is a non-smooth equivalence on P . Several subse...
متن کاملEndomorphisms and Quantum Operations
We define a quantum operation as a special type of endomorphism between spaces of matrices. Representations of endomorphisms are considered and an isomorphism between higher dimensional matrices and endomorphisms is derived. We then employ this isomorphism to prove various results for endomorphisms and quantum operations. For example, an endomorphism is completely positive if and only if its co...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2017
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-017-0405-z