A Note on Quadratic Maps for Hilbert Space Operators

Subject Areas : Statistics

H.R. Moradi ¹ (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
M. Erfanian Omidvar ² (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)

Received: 2017-02-08 Accepted : 2017-05-22 Published : 2017-05-01

Keywords: نگاشت‌های خطی مثبت, نگاشت یک ‌و نیم‌ خطی, نگاشت مرتبه دوم, نابرابری‌های عملگری,

Abstract :

In this paper, we introducethe notion of sesquilinearmap on Β(H) . Based onthisnotion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...