{"title":"Remarks on weak compactness criteria in variable exponent Lebesgue spaces","authors":"Francisco L. Hernández, César Ruiz, Mauro Sanchiz","doi":"10.2989/16073606.2023.2287839","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287839","url":null,"abstract":"We give two weak compactness Andô type criteria in variable exponent Lebesgue spaces Lp(·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces L...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi
{"title":"Scaling and instantaneous blow up","authors":"Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi","doi":"10.2989/16073606.2023.2287834","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287834","url":null,"abstract":"The main result is a simple proof of the Baras-Goldstein (1984) instantaneous blow up result for the heat equation with the inverse square potential. The proof relies heavily, indeed mainly, on sca...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140076244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hereditarily projectable Archimedean lattice-ordered groups with unit","authors":"Anthony W. Hager, Brian Wynne","doi":"10.2989/16073606.2023.2287836","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287836","url":null,"abstract":"Let W be the category of Archimedean lattice-ordered groups with distinguished weak unit and unit-preserving ℓ-group homomorphisms. We denote by P, wP, Loc, HA, respectively, the collections of pro...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo
{"title":"On the way to Frölicher bornology","authors":"Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo","doi":"10.2989/16073606.2024.2320441","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320441","url":null,"abstract":"In this work we introduce the concept of bornology on the theory of Frölicher spaces. A canonical bornology, called the functional bornology, is induced from structure functions, and bounded maps u...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fubini’s theorem for a vector-valued Daniell integral","authors":"Jacobus J. Grobler","doi":"10.2989/16073606.2024.2322684","DOIUrl":"https://doi.org/10.2989/16073606.2024.2322684","url":null,"abstract":"We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat
{"title":"Planar polynomial of the graphs","authors":"Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat","doi":"10.2989/16073606.2024.2320434","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320434","url":null,"abstract":"In this paper, the planar polynomial of a graph is introduced and some of its properties are discussed. The planar polynomial of the graph G is real-rooted if and only if G is planar. This polynomi...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal system and conservation laws for the generalized Fisher equation in cylindrical coordinates","authors":"A.H. Kara, Sonia Naseer, Ali Raza, F.D. Zaman","doi":"10.2989/16073606.2024.2321261","DOIUrl":"https://doi.org/10.2989/16073606.2024.2321261","url":null,"abstract":"The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. In many practical situations, the physical domain of the problem is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras","authors":"Yuan Yang, Jianhua Zhang","doi":"10.2989/16073606.2024.2323708","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323708","url":null,"abstract":"Let be a factor von Neumann algebra with dim . In this paper, it is shown that if a map satisfies for all , then ϕ is an additive ∗-derivation, where .","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eliezer Batista, William Hautekiet, Joost Vercruysse
{"title":"A comonadicity theorem for partial comodules","authors":"Eliezer Batista, William Hautekiet, Joost Vercruysse","doi":"10.2989/16073606.2024.2322011","DOIUrl":"https://doi.org/10.2989/16073606.2024.2322011","url":null,"abstract":"We show that the category of partial comodules over a Hopf algebra H is comonadic over Vectk and provide an explicit construction of this comonad using topological vector spaces. The case when H is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}