26 citations · 117 across the 42 of their papers we have counts for
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Generation of subordinated holomorphic semigroups via Yosida's theorem
Alexander Gomilko, Yuri Tomilov
Using functional calculi theory, we obtain several estimates for , where is a Bernstein function, is a bounded completely monotone function and is the ge…
On subordination of holomorphic semigroups
Alexander Gomilko, Yuri Tomilov
We prove that for any Bernstein function the operator generates a holomorphic -semigroup on a Banach space, whenever does. This answe…
Some Operator Bounds Employing Complex Interpolation Revisited
Fritz Gesztesy, Yuri Latushkin, Fedor Sukochev +1
We revisit and extend known bounds on operator-valued functions of the type $$ T_1^{-z} S T_2^{-1+z}, \quad z \in \ol Σ= \{z\in\bbC\,|\, \Re(z) \in [0,1]\}, $$ under various hypoth…
A Jost-Pais-type reduction of Fredholm determinants and some applications
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the analog of semi-separable integral kernels in $\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x'), & a<x'< x< b, \\ F_2(x)G_2(x'), & a<x<x'<b, {cases} {equation…
On the Witten index in terms of spectral shift functions
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the model operator in associated with the operator path , wher…
L^p-tauberian theorems and L^p-rates for energy decay
Charles Batty, Alexander Borichev, Yuri Tomilov
We prove -analogues of the classical tauberian theorem of Ingham and Karamata, and its variations giving rates of decay. These results are applied to derive -decay of ope…