منابع مشابه
The discrete dynamics of monotonically decomposable maps.
We extend results of Gouzé and Hadeler (in Nonlinear World 1:23-34, 1994) concerning the dynamics generated by a map on an ordered metric space that can be decomposed into increasing and decreasing parts. Our main results provide sufficient conditions for the existence of a globally asymptotically stable fixed point for the map. Applications to discrete-time, stage-structured population models ...
متن کاملnt - p h / 06 03 00 8 v 1 1 M ar 2 00 6 On positive decomposable maps
A partial characterization (a necessary condition for decomposability and a criterion for nondecomposability) of decomposable positive maps is given. Furthermore, a clarification of the structure of the set of positive maps is provided. W.A.M. was partially supported by SCALA (IST-2004-015714) M.M.was partially supported by KBN grant PB/1490/PO3/2003/25 1 2
متن کامل2 Decomposable maps and their relation to PPT states
We present two different descriptions of positive partially transposed (PPT) states. One is based on the theory of positive maps while the second description provides a characterization of PPT states in terms of Hilbert space vectors. Our note is based on our previous results presented in [22], [18], and [20]. 1 Definitions and notations In Quantum Computing a characterization of states with po...
متن کاملIrreducible Positive Linear Maps on Operator Algebras
Motivated by the classical results of G. Frobenius and O. Perron on the spectral theory of square matrices with nonnegative real entries, D. Evans and R. Høegh-Krohn have studied the spectra of positive linear maps on general (noncommutative) matrix algebras. The notion of irreducibility for positive maps is required for the Frobenius theory of positive maps. In the present article, irreducible...
متن کاملMaps on positive operators preserving Lebesgue decompositions
Let H be a complex Hilbert space. Denote by B(H)+ the set of all positive bounded linear operators on H. A bijective map φ : B(H)+ → B(H)+ is said to preserve Lebesgue decompositions in both directions if for any quadruple A,B,C,D of positive operators, B = C +D is an A-Lebesgue decomposition of B if and only if φ(B) = φ(C)+φ(D) is a φ(A)-Lebesgue decomposition of φ(B). It is proved that every ...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2007
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(07)80065-6