Completely positive and Hermitian-preserving linear transformations
نویسندگان
چکیده
منابع مشابه
Hermitian star products are completely positive deformations
Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C∞(M) can be deformed into a positive linear functional with respect to the star product.
متن کاملPositive and completely positive cones and Z-transformations
A well-known result of Lyapunov on continuous linear systems asserts that a real square matrix A is positive stable if and only if for some symmetric positive definite matrix X, AX + XA is also positive definite. A recent result of Moldovan-Gowda says that a Z-matrix A is positive stable if and only if for some symmetric strictly copositive matrix X, AX + XA is also strictly copositive. In this...
متن کاملOn Zero-Preserving Linear Transformations
For an arbitrary subset I of IR and for a function f defined on I, the number of zeros of f on I will be denoted by ZI(f) . In this paper we attempt to characterize all linear transformations T taking a linear subspace W of C(I) into functions defined on J (I, J ⊆ IR) such that ZI(f) = ZJ (Tf) for all f ∈ W .
متن کاملLinear transformations preserving log-concavity
In this paper, we prove that the linear transformation yi = i ∑ j=0 ( m+ i n+ j ) xj , i = 0, 1, 2, . . . preserves the log-concavity property. © 2002 Elsevier Science Inc. All rights reserved.
متن کاملSome Observations on Dirac Measure-Preserving Transformations and their Results
Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1981
ISSN: 0024-3795
DOI: 10.1016/0024-3795(81)90261-5