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Spectrum of Cesaro operators
No full textTitle: Spectrum of cesàro operators Author: Matyáš Maleček Department of Mathematical Analysis: Department of Mathematical Analysis Supervisor: prof. RNDr. Jiří Spurný, Ph.D., DSc., Department of Mathematical Analysis Abstract: This thesis focuses on finding the spectrum of cesàro operator on classic sequence spaces, namely c0, c, ℓ∞ and ℓp . Keywords: cèsaro operator spectrum classic sequence space
Spectrum of Cesaro operators
Get PDFNázev práce: Spektrum cesàrovských operátorů Autor: Matyáš Maleček Katedra: Katedra matematické analýzy Vedoucí bakalářské práce: prof. RNDr. Jiří Spurný, Ph.D., DSc., Katedra mate- matické analýzy Abstrakt: Tato práce pojednává o hledání spektra cesàrovského operátoru na klasických prostorech posloupností, tedy c0, c, ℓ∞ a ℓp . Klíčová slova: cèsarovský operátor spektrum klasické prostory posloupnostíTitle: Spectrum of cesàro operators Author: Matyáš Maleček Department of Mathematical Analysis: Department of Mathematical Analysis Supervisor: prof. RNDr. Jiří Spurný, Ph.D., DSc., Department of Mathematical Analysis Abstract: This thesis focuses on finding the spectrum of cesàro operator on classic sequence spaces, namely c0, c, ℓ∞ and ℓp . Keywords: cèsaro operator spectrum classic sequence spacesDepartment of Mathematical AnalysisKatedra matematické analýzyMatematicko-fyzikální fakultaFaculty of Mathematics and Physic
Economic analysis and the Implicit Function Theorem
No full textNazev pracc: Vota o implicituich funkn'rh v ekonomicke analyse Autor: Radek Solnirky Pracovisto: Katrdra innteinatirke analyzy Vedouci bakalafske prace: RNDr. Prazak Dalibor, Ph.D. e-mail veclouciho: [email protected] Ahstrakt: V unioha ekonomickych modeled! popisuji'cich rovnovahy se vy- \i7.ivii popis .situaco pomoci grafu. Rovnovahu pak pferlstavuje prusecik kfi- vek- Loft'irky naslcdujc1 ota/ka. jak .se tatf) rovnovaha ziuenf, zmeniTun-li vucj.sf parametry mod(>lu. V ramci grafu jde o [)OMim nekterycli kfivek a vznik novyeh prusccikii. Z jejich pozice se UHUZUJC, v jakcni vztahu jc nova rovnovaha vzhledrm k puvothn. V tcto praci je pfcdstavena nietoda kom- parativni staticke analyzy, inatoinaticky exaktni metody, ktera zodpovkla tuto otazku be'/ nutnosti s]K)lehat se na intuitivni pojoti situacc grafein. Jo obc-nur odvo/on jejf po.stup a nasledne jc ilustrovan na nekolika pffkladecii. Kh'cova slova: ^-eta o iuiplicitni'ch funkci'ch, rcjvnovaha. produkeni funkcu, uzitkova funkcc Title: Economic Analysis and the Implicit. Function Theorem Author: Radok Solnicky Department: Department of Mathematical Analysis Supervisor: RNDr. Prazak Dalibor. Ph.D. Supervisor's e-mail address: [email protected] Abstract: In economic models describing various equilibria, graphs are used to illustrate the..
Economic analysis and the Implicit Function Theorem
Get PDFNazev pracc: Vota o implicituich funkn'rh v ekonomicke analyse Autor: Radek Solnirky Pracovisto: Katrdra innteinatirke analyzy Vedouci bakalafske prace: RNDr. Prazak Dalibor, Ph.D. e-mail veclouciho: [email protected] Ahstrakt: V unioha ekonomickych modeled! popisuji'cich rovnovahy se vy- \i7.ivii popis .situaco pomoci grafu. Rovnovahu pak pferlstavuje prusecik kfi- vek- Loft'irky naslcdujc1 ota/ka. jak .se tatf) rovnovaha ziuenf, zmeniTun-li vucj.sf parametry mod(>lu. V ramci grafu jde o [)OMim nekterycli kfivek a vznik novyeh prusccikii. Z jejich pozice se UHUZUJC, v jakcni vztahu jc nova rovnovaha vzhledrm k puvothn. V tcto praci je pfcdstavena nietoda kom- parativni staticke analyzy, inatoinaticky exaktni metody, ktera zodpovkla tuto otazku be'/ nutnosti s]K)lehat se na intuitivni pojoti situacc grafein. Jo obc-nur odvo/on jejf po.stup a nasledne jc ilustrovan na nekolika pffkladecii. Kh'cova slova: ^-eta o iuiplicitni'ch funkci'ch, rcjvnovaha. produkeni funkcu, uzitkova funkcc Title: Economic Analysis and the Implicit. Function Theorem Author: Radok Solnicky Department: Department of Mathematical Analysis Supervisor: RNDr. Prazak Dalibor. Ph.D. Supervisor's e-mail address: [email protected] Abstract: In economic models describing various equilibria, graphs are used to illustrate the..
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Basic properties of p-Banach spaces
No full textIn this thesis we recall the notion of a quasi-norm and a p-norm. We mention the Aoki-Rolewicz theorem which connects these two notions. We deal with generalizations of selected results from Banach spaces to p-Banach spaces for 0 < p ≤ 1. We study the class of Lp(µ) spaces. Namely, we explore their basic properties, their dual spaces and nonlinear structure.
Finitely additive measures and their docompositions
No full textWe define the notion of a finitely additive measure on a σ-algebra. We prove that a bounded finitely additive measure can be uniquely represented as a sum of a "σ-additive part" and a "purely finitely additive part" and that it also has a decomposition similar to the Lebesgue decomposition for σ-additive measures. Bounded finitely additive measures defined on the Borel σ-algebra form a normed linear space and those that are zero on Lebesgue null sets form its subspace. We show that the former one is isometrically isomorphic to the dual space of the space of bounded Borel functions and the latter one is isometrically isomorphic to the dual space of the space of essentially bounded functions.
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