Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generation of subordinated holomorphic semigroups via Yosida's theorem   Using functional calculi theory, we obtain several estimates for
$\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded
completely monotone function and $-A$ is the generator of a holomorphic
$C_0$-semigroup on a Banach space, bounded on $[0,\infty)$. Such estimates are
of value, in particular, in approximation theory of operator semigroups. As a
corollary, we obtain a new proof of the fact that $-\psi(A)$ generates a
holomorphic semigroup whenever $-A$ does, established recently in [8] by a
different approach.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci