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Presentations and Tietze Transformations of C*-algebras
C*-algebra Unitization Adjoint Functor Free Construction
2011/1/18
In this work, I develop a new view of presentation theory for C*-algebras, both unital and non-unital, heavily grounded in classical notions from algebra. In particular, I introduce Tietze transformat...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
THE DUAL SPACES OF SETS OF DIFFERENCE SEQUENCES OF ORDER $m$ AND MATRIX TRANSFORMATIONS
difference sequences dual spaces matrix transformations
2007/12/11
Let $p=(p_{ k})_{k=0}^{\infty}$ be a bounded sequence of positive reals, $m\in{\Bbb N}$ and $u$ be s sequence of nonzero terms. If $x=(x_{k})_{k=0}^{\infty}$ is any sequence of complex numbers we writ...