Regularity for operator algebras on a Hilbert space

Closure Operator on Hilbert Algebras

In this paper, we introduce closure operator(c) on Hilbert algebra H and study the properties of c. Then we state the relation between c and uniform topology on H. Mathematics Subject Classification: 03G25, 54E15

Operator Extensions on Hilbert Space

Hilbert algebras with a necessity modal operator

Received 12 December 2013 1991 Mathematics Subject Classification: 03G25; 06D05

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 THEORY ON HILBERT SPACE Class notes