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Continuous Linear Maps
The continuous linear maps, or operators, are those functions that preserve the structure of normed spaces. They are generalizations of matrices....
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Entropy of a Pairwise Continuous Map in NWPC Bitopological Dynamical Systems
Topological entropy is a measure of complexity in topological dynamical systems. Recently, Acharjee et al. [S. Acharjee, K. Goswami and H.K. Sarmah,...
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Singular continuous phase for Schrödinger operators over circle maps
We consider a class of Schrödinger operators—referred to as Schrödinger operators over circle maps—that generalize one-frequency quasiperiodic...
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Continuous Random Vectors
Having studied discrete random variables, that is, random variables taking their values in a finite or countable set, we now introduce random...
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Sun Dual Theory For Bi-Continuous Semigroups
The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only...
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Continuous Orbit Equivalence of Semigroup Actions
We introduce notions of continuous orbit equivalence and its one-sided version for countable left Ore semigroup actions on compact spaces by...
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The Stone Representations for Generalized Continuous Posets
In this paper, we introduce the concepts of generalized continuous posets and present topological dualities for them. Moreover, we show that the...
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Continuous Operators
Though we have insisted in the pivotal rule played historically by the Calculus of Variations in the initial steps of Functional Analysis as a...
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Some relations between continuous generalized frames
Generalized frames are natural generalizations of frames. The computation of distances between frames is a crucial concept in frame theory. In this...
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Continuous Nakayama Representations
We introduce continuous analogues of Nakayama algebras. In particular, we introduce the notion of (pre-)Kupisch functions, which play a role as...
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Continuous-time incentives in hierarchies
This paper studies continuous-time optimal contracting in a hierarchy, generalising the model of Sung (Math. Financ. Econ. 9:195–213,
2015 ). More...
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Continuous Extension of Holomorphic Map**s
In this chapter introduce the Kobayashi-Royden and other invariant metrics, and prove continuous extension to the boundary of proper holomorphic maps...
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Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps
In this paper, we study the Sinai–Ruelle–Bowen (SRB) measures of generalized horseshoe maps. We prove that under the conditions of transversality and...
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Short Essay on Difference Equations with Continuous Argument
The aim of the present paper is to draw attention to difference equations with continuous argument, which are paradigmatic for the simulation of...
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Semigroups of Relatively Continuous Binary Relations and Their Isomorphisms
AbstractAll isomorphisms between semigroups of relatively continuous binary relations defined on arbitrary topological spaces are described. As a...
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Combining discrete and continuous information for multi-criteria optimization problems
In multi-criteria optimization problems that originate from real-world decision making tasks, we often find the following structure: There is an...
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Continuous Dependence of Szegő Kernel on a Weight of Integration
The weighted Szegő kernel was investigated in a few papers (see Nehari in J d’Analyse Mathématique 2:126–149, 1952; Alenitsin in Zapiski Nauchnykh...
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Local Isometries on Subspaces of Continuous Functions
In this paper, we provide a representation of local isometries when defined between certain general subspaces of scalar-valued and vector-valued...
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Existence Theorems for Parameter Dependent Weakly Continuous Operators with Applications
The paper presents results on the solvability and parameter dependence for problems driven by weakly continuous potential operators with continuously...
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Continuous Dynamical Systems
DynamicsDynamics is a time-evolutionary process. It may be deterministic or stochastic. Long-term predictions of some systems often become...