# Solutions of nonlinear equations in cones and positive linear operators

## Related Articles

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In an N-dimensional space, we consider the approximation of classes of translation-invariant periodic functions by a linear operator whose kernel is the product of two kernels one of which is positive. We establish that the least upper bound of this approximation does not exceed the sum of...

- Symmetric Remote Single-Qubit State Preparation via Positive Operator-Valued Measurement. Zhang-Yin Wang // International Journal of Theoretical Physics;Jun2010, Vol. 49 Issue 6, p1357
I present a tripartite scheme for realizing remote single-qubit state preparation in either distant ministrantâ€™s place. In this scheme, to fulfill the remote preparation, the preparer performs a two-qubit projective measurement in a properly chosen bases. Then after the two...

- Extremal covariant positive operator valued measures. Chiribella, Giulio; D'Ariano, Giacomo Mauro // Journal of Mathematical Physics;Dec2004, Vol. 45 Issue 12, p4435
We consider the convex set of positive operator valued measures (POVM) which are covariant under a finite dimensional unitary projective representation of a group. We derive a general characterization for the extremal points, and provide bounds for the ranks of the corresponding POVM densities,...

- ABOUT A PAIR LINEAR POSITIVE OPERATORS ASSOCIATED WITH BLEIMANN-BUTZER-HAHN OPERATOR. CISMAŞIU, Cristina Sanda // Proceedings of the Scientific Conference AFASES;May2013, p343
We deal in this paper with an estimation of the difference between Bleimann-Butzer-Hahn operator and its associated operator defined according to a general method of construction of linear positive operator.

- On boundedness of sublinear operators in weighted Morrey spaces. Mustafayev, R. Ch. // Azerbaijan Journal of Mathematics;Jan2012, Vol. 2 Issue 1, p66
In this paper we provide conditions on functions Ï‰1 and Ï‰2 which ensures the boundedness of sublinear operators from one weighted Morrey space Mp,w1(Î½) to another Mpw2), where weight function v belongs to Muckenhoupt classes Ap.

- Commutative POVMs and Fuzzy Observables. Ali, S. Twareque; Carmeli, Claudio; Heinosaari, Teiko; Toigo, Alessandro // Foundations of Physics;Jun2009, Vol. 39 Issue 6, p593
In this paper we review some properties of fuzzy observables, mainly as realized by commutative positive operator valued measures. In this context we discuss two representation theorems for commutative positive operator valued measures in terms of projection valued measures and describe, in some...

- Korovkin-type approximation properties of bivariate q-Meyer-Kï¿½nig and Zeller operators. Dogru, Og�n; Gupta, Vijay // Calcolo;Mar2006, Vol. 43 Issue 1, p51
In the present paper, a bivariate generalization of the Meyer-Kï¿½nig and Zeller operators based on the q-integers is constructed. Approximation properties and rate of convergence of these operators are established with the help of a Korovkin theorem for bivariate functions and a...

- POWERS OF OPERATORS DOMINATED BY STRICTLY SINGULAR OPERATORS. FLORES, JULIO; HERN�NDEZ, FRANCISCO L.; TRADACETE, PEDRO // Quarterly Journal of Mathematics;Sep2008, Vol. 59 Issue 3, p321
It is proved that every positive operator R on a Banach lattice E dominated by a strictly singular operator T:E ? E satisfies that the R4 is strictly singular. Moreover, if E is order continuous then the R2 is already strictly singular.

- The limit spectrum of a positive operator in L2 that is integral on some subspace. Korotkov, V. B. // Siberian Mathematical Journal;May2010, Vol. 51 Issue 3, p452
Given a positive linear operator S: L2 â†’ L2 integral on some dense subspace in L2, we prove that 0 belongs to the limit spectrum of S.