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1
Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1334-x
Abstract: The Samuel multiplicity and the structure of essentially semi-regular linear relations on a Banach space are considered. First, we give some results concerning Samuel multiplicity for essentially semi-regular linear relations. Second, we study the structure…
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Keywords:
semi regular;
structure essentially;
regular linear;
linear relations ... See more keywords
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Published in 2021 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-021-01920-3
Abstract: UDC 517.98 This paper initiates a study of local spectral theory for linear relations. At the beginning, we define the local spectrum and study its properties. Then we obtain results related to the correlation analytic…
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Keywords:
local spectral;
surjective spectrum;
linear relations;
spectral theory ... See more keywords
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Published in 2022 at "Environmental Science and Pollution Research"
DOI: 10.1007/s11356-022-19644-7
Abstract: Influential factors of socio-economic and air pollution on life expectancy (LE) show complexity. The investigations of non-linear functions of LE, socio-economic, and air pollution factors have not been largely conducted, and spatial and temporal differences…
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Keywords:
non linear;
linear relations;
economic air;
air pollution ... See more keywords
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Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-019-00300-7
Abstract: In the present paper, we introduce the new notions of the $$\varepsilon $$ε-pseudospectra and the essential $$\varepsilon $$ε-pseudospectra of linear relations and investigate their characterizations. Beside that, we establish the relationship between the pseudospectra (resp.…
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Keywords:
essential varepsilon;
varepsilon pseudospectra;
linear relations;
pseudospectra essential ... See more keywords
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Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.09.028
Abstract: Abstract We provide a conjectural characterization for F q ( t ) -linear relations between multizeta values and for the dimensions of their fixed-weight F q ( t ) span, as well as many new…
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Keywords:
conjectural characterization;
relations multizeta;
characterization linear;
multizeta values ... See more keywords
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Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.06.017
Abstract: Abstract The characterization of bounded essentially semi regular operators in terms of Kato decomposition of finite type was studied by several authors. In this paper, we extend this characterization to the case of essentially semi…
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Keywords:
semi regular;
regular linear;
linear relations;
essentially semi ... See more keywords
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Published in 2017 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30083-8
Abstract: Abstract A closed linear relation T in a Banach space X is called left (resp. right) Fredholm if it is upper (resp. lower) semiFredholm and its range (resp. null space) is topologically complemented in X…
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Keywords:
resp right;
browder linear;
right browder;
left resp ... See more keywords
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Published in 2022 at "Chaos"
DOI: 10.1063/5.0100897
Abstract: Considering a system combining two generalized Boolean transformations, we found that depending on the parameters, we can generate generalized synchronization such that the two chaotic orbits have arbitrary proportional linear relations. We rigorously determined its…
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Keywords:
proportional linear;
chaotic synchronization;
linear relations;
arbitrary proportional ... See more keywords
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Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557119500475
Abstract: In this paper, we extend the notion of quotient of linear operators to linear relations. We introduce for two given linear relations [Formula: see text] and [Formula: see text], the linear relation quotient [Formula: see…
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Keywords:
quotient linear;
linear relations;
relations applications;
formula see ... See more keywords
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Published in 2020 at "PLoS ONE"
DOI: 10.1371/journal.pone.0230973
Abstract: Zero-determinant (ZD) strategies, a recently found novel class of strategies in repeated games, has attracted much attention in evolutionary game theory. A ZD strategy unilaterally enforces a linear relation between average payoffs of players. Although…
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Keywords:
average payoffs;
strategies repeated;
zero determinant;
determinant strategies ... See more keywords
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Published in 2023 at "Filomat"
DOI: 10.2298/fil2301193m
Abstract: In this paperwe investigate the spectrum and the Drazin spectrum and their pseudo spectral analogues, for linear relations between Banach spaces and corresponding spectra, the generalized Drazinmeromorphic pseudospectrum. More specifically, the generalized Drazin-meromorphic pseudospectrum for…
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Keywords:
generalized drazin;
meromorphic pseudospectrum;
drazin meromorphic;
linear relations ... See more keywords