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Non-commutative Schur-Horn theorems and extended majorization for Hermitian matrices
(Taylor & Francis Ltd, 2010-06)
Let A ⊆ Mn(C) be a unital ∗-subalgebra of the algebra Mn(C) of all n×n complex matrices and let B be an hermitian matrix. Let Un(B) denote the unitary orbit of B in Mn(C) and let EA denote the trace preserving conditional ...
On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
(WILEY, 2005)
In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W-1,W-p(Omega) --> L-p* (partial derivativeOmega), where Omega is a bounded smooth domain in R-N, p(*) = p(N - 1)/(N - p) is the ...
On the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
On Kadison’s Carpenters theorem
(American Mathematical Society, 2009-11)
Let M be a II1 factor with trace τ, A⊆M a masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we ...
On the Sobolev trace Theorem for variable exponent spaces in the critical range
(Springer Heidelberg, 2013-05)
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions ...
Tracing an Ellipse with Quetelet & Dandelin
(Louis A. Talman, 2011)
Tracing a Parabola with Quetelet & Dandelin
(Louis A. Talman, 2016)
Tracing a Parabola with Quetelet & Dandelin
(Louis A. Talman, 2011)
Tracing an Ellipse with Quetelet & Dandelin
(Louis A. Talman, 2016)