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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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Composition Operators on Spaces of Analytic Functions

, 1995
Introduction Analysis Background A Menagerie of Spaces Some Theorems on Integration Geometric Function Theory in the Disk Iteration of Functions in the Disk The Automorphisms of the Ball Julia-Caratheodory Theory in the Ball Norms Boundedness in ...
Helga Barbara Isselhard Mynott
semanticscholar   +1 more source

Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers

IEEE transactions on fuzzy systems, 2019
The theory of $q$-rung orthopair fuzzy sets ($q$-ROFSs) proposed by Yager effectively describes fuzzy information in the real world. Because $q$-ROFSs contain the parameter $q$ and can adjust the range of expressed fuzzy information, they are superior to
Peide Liu, Peng Wang
semanticscholar   +1 more source

Operations on Closure Operators

1995
Despite the powerful continuity condition, the notion of closure operator is very general. It is therefore important to provide tools for improving a given operator. Fortunately, there is a natural lattice structure for closure operators that allows us to distinguish between properties stable under meet (idempotency, hereditariness, productivity), and ...
D. Dikranjan, W. Tholen
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Compelled operations and operations of degreeP

Mathematical Systems Theory, 1979
We definen-ary (n ≥ 1) operations compelled by an operator and operations of degreep, generalizations of Greibach's binary syntactic operations. We show that properties of binary syntactic operators remain right forn-ary operations (n ≥ 1) and further for idempotent operations.
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Operators and Operator Algebras

1973
Almost all the material discussed in this chapter will be needed later but a reader who is somewhat familiar with it already might prefer to use it only for reference during the detailed study of some of the later chapters. The topics of this chapter are both important and interesting. The following elementary and concise summary of this part of linear
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