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National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Composition operators on function spaces
 Novotný, Matěj ; Spurný, Jiří (advisor) ; Kalenda, Ondřej (referee)
Univerzita Karlova Abstract of the bachelor thesis Composition operators on function spaces Matěj Novotný, Praha 2011 In the thesis we define what is an composition operator on the space of continuous or measurable functions of one complex variable so that we may proceed to study its properties depending on properties of the mapping the operator is induced by. We search for conditions under which the operator is continuous, compact and an isomorphism. We roughly estimate the spectrum of an operator defined on a space of continuous functions. 1
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Big families of incomparable continua
 Doležalová, Anna ; Vejnar, Benjamin (advisor) ; Kurka, Ondřej (referee)
The goal of the thesis is to define the basic concepts of continuum theory and explore properties of some special continuous mappings between them. These are used for the construction of infinite families of continua which are incomparable by homeomorphic, open or monotone mappings. Special concern is given to families of dendrites. In particular, we describe an uncountable family of homeomorphically incomparable dendrites, an uncountable family of open incomparable dendrites and a countable family of monotone incomparable local dendrites. Existence of an uncountable family of monotone incomparable dendrites is open problem, in this thesis we describe a family of such dendrites of arbitrary finite cardinality. Powered by TCPDF (www.tcpdf.org)
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Composition operators on function spaces
 Novotný, Matěj ; Spurný, Jiří (advisor) ; Kalenda, Ondřej (referee)
Univerzita Karlova Abstract of the bachelor thesis Composition operators on function spaces Matěj Novotný, Praha 2011 In the thesis we define what is an composition operator on the space of continuous or measurable functions of one complex variable so that we may proceed to study its properties depending on properties of the mapping the operator is induced by. We search for conditions under which the operator is continuous, compact and an isomorphism. We roughly estimate the spectrum of an operator defined on a space of continuous functions. 1
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