14,763 research outputs found
Some Automatic Continuity Theorems for Operator Algebras and Centralizers of Pedersen's Ideal
We prove automatic continuity theorems for "decomposable" or "local" linear
transformations between certain natural subspaces of operator algebras. The
transformations involved are not algebra homomorphisms but often are module
homomorphisms. We show that all left (respectively quasi-) centralizers of the
Pedersen ideal of a C*-algebra A are locally bounded if and only if A has no
infinite dimensional elementary direct summand. It has previously been shown by
Lazar and Taylor and Phillips that double centralizers of Pedersen's ideal are
always locally bounded.Comment: A slightly revised version of this paper is being published by
Integral Equations and Operator Theory (published online on October 11 2016
Re-figuring Federalism: Nation and State in Health Reform's Next Round
Reviews the evolution of national healthcare reform movements and the relationship between the federal and state governments, with international comparisons. Outlines differences to be resolved over Medicaid and other programs under a reformed system
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