1,173 research outputs found
Delta-semidefinite and delta-convex quadratic forms in Banach spaces
A continuous quadratic form ("quadratic form", in short) on a Banach space
is: (a) delta-semidefinite (i.e., representable as a difference of two
nonnegative quadratic forms) if and only if the corresponding symmetric linear
operator factors through a Hilbert space; (b) delta-convex
(i.e., representable as a difference of two continuous convex functions) if and
only if is a UMD-operator. It follows, for instance, that each quadratic
form on an infinite-dimensional space () is: (a)
delta-semidefinite iff ; (b) delta-convex iff . Some other
related results concerning delta-convexity are proved and some open problems
are stated.Comment: 19 page
Educational Leadership Challenges in the 21st Century: Closing the Achievement Gap for At-Risk Students
The purpose of this special issue is twofold: To explore the challenges educational leaders face in addressing the achievement gap for at-risk students; and to seek solutions
Educational Considerations, vol. 38(1) Full Issue
Educational Considerations, vol. 38(1)-Fall 2010-Full issu
Table of contents and editorial information for Vol. 38, no. 1, Fall 2010
Table of contents and editorial information for Vol. 38, no. 1, Fall 2010, special issue Educational Leadership Challenges in the 21st Century: Closing the Achievement Gap for At-Risk Students
The Incidence of At-Risk Students in Indiana: A Longitudinal Study
Elementary and secondary students can be impacted by a number of risk factors, all of which can have a negative influence on their academic success
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