68 citations · 255 across the 23 of their papers we have counts for
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Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture
Gunther Dirr
Given a parameter dependent fixed point equation , we derive an abstract compactness principle for the fixed point map under the assumptions that (i)…
Von Neumann Type of Trace Inequalities for Schatten-Class Operators
Gunther Dirr, Frederik vom Ende
We generalize von Neumann's well-known trace inequality, as well as related eigenvalue inequalities for hermitian matrices, to Schatten-class operators between complex Hilbert spac…
The C-Numerical Range for Schatten-Class Operators
Gunther Dirr, Frederik vom Ende
We generalize the -numerical range from trace-class to Schatten-class operators, i.e. to and with $1/p + 1…
The C-Numerical Range in Infinite Dimensions
Gunther Dirr, Frederik vom Ende
In infinite dimensions and on the level of trace-class operators rather than matrices, we show that the closure of the -numerical range is always star-shaped with r…