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On extensions of families of operators 论算子族的扩展
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.023
Oleg  Lihvoinen
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引用次数: 0
Fréchet differentiability via partial Fréchet differentiability 通过部分弗雷谢特可微性的弗雷谢特可微性
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.025
Luděk  Zajíček
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引用次数: 0
Monadic quasi-modal distributive nearlattices 一元准模态分布近格
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.027
Ismael  Calomino
{"title":"Monadic quasi-modal distributive nearlattices","authors":"Ismael  Calomino","doi":"10.14712/1213-7243.2023.027","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.027","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"117 10","pages":""},"PeriodicalIF":0.2,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139390954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Isomorphic properties in spaces of compact operators 紧凑算子空间中的同构性质
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.026
Ioana  Ghenciu
{"title":"Isomorphic properties in spaces of compact operators","authors":"Ioana  Ghenciu","doi":"10.14712/1213-7243.2023.026","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.026","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"136 19","pages":""},"PeriodicalIF":0.2,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139452982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Practical $h$-stability behavior of time-varying nonlinear systems 时变非线性系统的实用 h$ 稳定行为
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.021
Abir  Kicha, H. Damak, M. A. Hammami
{"title":"Practical $h$-stability behavior of time-varying nonlinear systems","authors":"Abir  Kicha, H. Damak, M. A. Hammami","doi":"10.14712/1213-7243.2023.021","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.021","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"76 5","pages":""},"PeriodicalIF":0.2,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139452315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Oscillation conditions for first-order nonlinear advanced differential equations 一阶非线性高级微分方程的振荡条件
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2024-01-02 DOI: 10.14712/1213-7243.2023.022
Özkan  Öcalan, N. Kılıç
{"title":"Oscillation conditions for first-order nonlinear advanced differential equations","authors":"Özkan  Öcalan, N. Kılıç","doi":"10.14712/1213-7243.2023.022","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.022","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"118 43","pages":""},"PeriodicalIF":0.2,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139390893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Metric trees in the Gromov--Hausdorff space Gromov- Hausdorff空间中的度量树
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2023-11-13 DOI: 10.14712/1213-7243.2023.012
Yoshito  Ishiki
{"title":"Metric trees in the Gromov--Hausdorff space","authors":"Yoshito  Ishiki","doi":"10.14712/1213-7243.2023.012","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.012","url":null,"abstract":"Using the wedge sum of metric spaces, for all compact metrizable spaces, we construct a topological embedding of the compact metrizable space into the set of all metric trees in the Gromov--Hausdorff space with finite prescribed values. As its application, we show that the set of all metric trees is path-connected and all its nonempty open subsets have infinite topological dimension.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"42 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136348467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free locally convex spaces and $L$-retracts 自由局部凸空间和$L$-缩回
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2023-11-13 DOI: 10.14712/1213-7243.2023.017
Rodrigo  Hidalgo Linares, Oleg Okunev
{"title":"Free locally convex spaces and $L$-retracts","authors":"Rodrigo  Hidalgo Linares, Oleg Okunev","doi":"10.14712/1213-7243.2023.017","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.017","url":null,"abstract":"We study the relation of $L$-equivalence defined between Tychonoff spaces, that is, we study the topological isomorphisms of their respective free locally convex spaces. We introduce the concept of an $L$-retract in a Tychonoff space in terms of the existence of a special kind of simultaneous extensions of continuous functions, explore the relation of this concept with the Dugundji extension theorem, and find some conditions that allow us to identify $L$-retracts in various classes of topological spaces. As applications, we present a method for constructing examples of $L$-equivalent mappings and $L$-equivalent spaces and in particular, we show that the properties of being an open mapping or a perfect mapping are not $L$-invariant.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"40 13","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136348332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
More on exposed points and extremal points of convex sets in $mathbb{R}^n$ and Hilbert space 更多关于$mathbb{R}^n$和Hilbert空间中凸集的露点和极值点
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2023-11-13 DOI: 10.14712/1213-7243.2023.018
Stoyu T.  Barov
{"title":"More on exposed points and extremal points of convex sets in $mathbb{R}^n$ and Hilbert space","authors":"Stoyu T.  Barov","doi":"10.14712/1213-7243.2023.018","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.018","url":null,"abstract":"Let ${mathbb{V}}$ be a separable real Hilbert space, $k in {mathbb{N}}$ with $k < dim {mathbb{V}}$, and let $B$ be convex and closed in ${mathbb{V}}$. Let ${mathcal{P}}$ be a collection of linear $k$-subspaces of ${mathbb{V}}$. A point $w in B$ is called exposed by ${mathcal{P}}$ if there is a $P in {mathcal{P}}$ so that $(w + P) cap B ={w}$. We show that, under some natural conditions, $B$ can be reconstituted as the convex hull of the closure of all its exposed by ${mathcal{P}}$ points whenever ${mathcal{P}}$ is dense and $G_{delta}$. In addition, we discuss the question when the set of exposed by some ${mathcal{P}}$ points forms a $G_{delta}$-set.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"84 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136346640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coloring triangles and rectangles 给三角形和矩形上色
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2023-11-13 DOI: 10.14712/1213-7243.2023.020
Jindrich Zapletal
{"title":"Coloring triangles and rectangles","authors":"Jindrich Zapletal","doi":"10.14712/1213-7243.2023.020","DOIUrl":"https://doi.org/10.14712/1213-7243.2023.020","url":null,"abstract":"It is consistent that ZF+DC holds, the hypergraph of rectangles on a given Euclidean space has countable chromatic number, while the hypergraph of equilateral triangles in two-dimensional Euclidean space does not.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"8 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134993020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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