Property (ω) and quasi-class (A, k) operators
In this paper, we prove the following assertions: (i) If T is of quasi-class (A, k), then T is polaroid and reguloid; (ii) If T or T* is an algebraically of quasi-class (A, k) operator, then Weyls theorem holds for f(T) for every f ∈ Hol(σ(T)); (iii) If T* is an algebraically of quasi-class (A, k) operator, then a-Weyls theorem holds for f(T) for every f ∈ Hol(σ(T)); (iv) If T* is algebraically of quasi-class (A, k) then property (ω) holds for T.
Algebraic Extension of An Operator
T ∈ L(H1 ⊕H2) is said to be an algebraic extension of a A∗n operator if T = (
Same-Sex Marriage in the United States
This Chapter gives a brief analysis of the status of same-sex marriage in the United States prior to the US Supreme Court decisions of 2013 and the status of litigation and political reforms triggered in part by these court decisions. It shows that marriage is a central institution in the country’s rationale of family law in ways that separate it from other western countries that have allowed same-sex marriage.