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AN OPERATOR INEQUALITY FOR OPERATOR MONOTONE FUNCTIONS (Operator monotone functions and related topics)

open access: yesAN OPERATOR INEQUALITY FOR OPERATOR MONOTONE FUNCTIONS (Operator monotone functions and related topics)
openaire  

Operator Monotone Functions which Are Defined Implicitly and Operator Inequalities

open access: yesJournal of Functional Analysis, 2000
The function tα ...
Mitsuru Uchiyama
exaly   +2 more sources

Some operator monotone functions [PDF]

open access: yesLinear Algebra and Its Applications, 2009
We prove that the functions t→(tq-1)(tp-1)-1 are operator monotone in the positive half-axis for ...
Frank Hansen
exaly   +2 more sources

Operations with monotone operators and the monotonicity of the resulting operators

Monatshefte für Mathematik, 2015
Let \(\mathcal H\) be a Hilbert space \({\mathcal D} \subseteq {\mathcal H}, \eta \in (-1,1)\) and \(T: {\mathcal D} \rightarrow {\mathcal H}\) be given. The authors say \(T\) to be \textit{\(\eta\)-increasing} if \(\langle Tx-Ty, x-y \rangle \geq \eta \parallel Tx-Ty \parallel \parallel x-y \parallel\) for all \(x,y \in {\mathcal D}\). For \(T\) to be
Daniela Marian   +2 more
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On Monotonic Automata with a Restart Operation

J. Autom. Lang. Comb., 1999
Automata with a restart Operation define a special class of rewrite (reduction) systems which has a close relation to the dependency syntax of natural languages. We impose a natural condition of monotonocity and introduce a hierarchical structure of several versions of such automata.
Petr Jancar   +3 more
openaire   +2 more sources

On monotone hull operations

Math. Log. Q., 2011
This paper extends some results on monotone Borel hull operations obtained in [\textit{M. Elekes} and \textit{A. Máthé}, Fundam. Math. 205, No. 2, 105--115 (2009; Zbl 1189.28002)] to a slightly more general and abstract context, which allows the authors to answer some questions posed in the mentioned paper. Call a triple \( (X, \mathcal{S}, \mathcal{I})
Marek Balcerzak, Tomasz Filipczak
openaire   +2 more sources

On difference of two monotone operators

Optimization Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Aslam Noor   +3 more
openaire   +1 more source

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