Completely p-summing maps on the operator Hilbert space OH

Oh-type and Oh-cotype of Operator Spaces and Completely Summing Maps

X iv :m at h/ 05 02 30 2v 1 [ m at h. FA ] 1 5 Fe b 20 05 OH-TYPE AND OH-COTYPE OF OPERATOR SPACES AND COMPLETELY SUMMING MAPS HUN HEE LEE Abstract. The definition and basic properties of OH-type and OH-cotype of operator spaces are given. We prove that every bounded linear map from C(K) into OH-cotype q (2 ≤ q < ∞) space (including most of commutative Lq-spaces) for a compact set K satisfies c...

A Note on Quadratic Maps for Hilbert Space Operators

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, 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...  

Operator Extensions on Hilbert Space

Completely Positive Projections on a Hilbert Space

The purpose of this paper is to prove that a completely positive projection on a Hilbert space associated with a standard form of a von Neumann algebra induces the existence of a conditional expectation of the von Neumann algebra with respect to a normal state, and we consider the application to a standard form of an injective von Neumann algebra.

OPERATOR THEORY ON HILBERT SPACE Class notes