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Convexity is omnipresent in mathematics and the mathematical sciences. During the past ten years, there has been intensive research in convex geometry. Methods and techniques from different fields hav...
The concept of L\"{o}wner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric and harmonic mean for accretive-dissipative matrices, we stud...
Abstract: We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distributions (si...
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...

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