Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_2.2021.02
F. Barki, A. Tajmouati, A. El Bakkali
{"title":"Uniform and mean ergodic theorems for C 0 -semigroups","authors":"F. Barki, A. Tajmouati, A. El Bakkali","doi":"10.31392/mfat-npu26_2.2021.02","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2021.02","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"35 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691639","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_1.2021.04
Yu. V. Bogdanskii
{"title":"On one problem of Yu. M. Berezansky","authors":"Yu. V. Bogdanskii","doi":"10.31392/mfat-npu26_1.2021.04","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2021.04","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691386","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_3.2021.06
O. Ostrovska, I. Yuryk
{"title":"Unitary representations of Poincaré group P ( 1 , n ) in S O ( 1 , n ) -basis","authors":"O. Ostrovska, I. Yuryk","doi":"10.31392/mfat-npu26_3.2021.06","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2021.06","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691931","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_4.2021.04
Birojit Das, B. Tripathy, P. Debnath
{"title":"Results on Matrix Transformation of Complex Uncertain Sequences via Convergence in Almost Surely","authors":"Birojit Das, B. Tripathy, P. Debnath","doi":"10.31392/mfat-npu26_4.2021.04","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.04","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692373","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_2.2021.01
Yu. M. Arlinski, S. Hassi
In this paper holomorphic families of linear relations that belong to the Stieltjes or inverse Stieltjes class are studied. It is shown that in their domain of holomorphy BbbC setminus BbbR + the values of Stieltjes and inverse Stieltjes families are, up to a rotation, maximal sectorial. This leads to a study of the associated closed sesquilinear forms and their representations. In particular, it is shown that the Stieltjes and inverse Stieltjes holomorphic families of linear relations are of type (B) in the sense of Kato. These results are proved by using linear fractional transforms which connect these families to holomorphic functions that belong to a combined Nevanlinna-Schur class and a key tool then relies on a specific structure of contractive operators. Розглядаються голоморфнi сiм’ї лiнiйних вiдношень, якi належать до класу Стiлтьєса та оберненого класу Стiлтьєса. Показано, що в їхнiй областi голоморфностi BbbC setminus BbbR + значення цих сiмей є, з точнiстю до обертання, максимальними секторiальними. Iз цим пов’язане дослiдження вiдповiдних замкнених пiвторалiнiйних форм та їхнiх представлень. Зокрема, показано, що стiлтьєсiвськi та оберненi стiлтьєсiвськi голоморфнi сiм’ї лiнiйних вiдношень належать до типу (В) у сенсi Като. Доведення базується на використаннi дробово-лiнiйних перетворень, якi переводять розглядуванi сiм’ї в голоморфнi функцiї класу Неванлiнни-Шура, псля чого використовується спецiальнi структури операторiв стиску.
{"title":"Representations of closed quadratic forms associated with Stieltjes and inverse Stieltjes holomorphic families of linear relations","authors":"Yu. M. Arlinski, S. Hassi","doi":"10.31392/mfat-npu26_2.2021.01","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2021.01","url":null,"abstract":"In this paper holomorphic families of linear relations that belong to the Stieltjes or inverse Stieltjes class are studied. It is shown that in their domain of holomorphy BbbC setminus BbbR + the values of Stieltjes and inverse Stieltjes families are, up to a rotation, maximal sectorial. This leads to a study of the associated closed sesquilinear forms and their representations. In particular, it is shown that the Stieltjes and inverse Stieltjes holomorphic families of linear relations are of type (B) in the sense of Kato. These results are proved by using linear fractional transforms which connect these families to holomorphic functions that belong to a combined Nevanlinna-Schur class and a key tool then relies on a specific structure of contractive operators. Розглядаються голоморфнi сiм’ї лiнiйних вiдношень, якi належать до класу Стiлтьєса та оберненого класу Стiлтьєса. Показано, що в їхнiй областi голоморфностi BbbC setminus BbbR + значення цих сiмей є, з точнiстю до обертання, максимальними секторiальними. Iз цим пов’язане дослiдження вiдповiдних замкнених пiвторалiнiйних форм та їхнiх представлень. Зокрема, показано, що стiлтьєсiвськi та оберненi стiлтьєсiвськi голоморфнi сiм’ї лiнiйних вiдношень належать до типу (В) у сенсi Като. Доведення базується на використаннi дробово-лiнiйних перетворень, якi переводять розглядуванi сiм’ї в голоморфнi функцiї класу Неванлiнни-Шура, псля чого використовується спецiальнi структури операторiв стиску.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691547","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_3.2021.05
Y. Martins, R. J. Biezuner
In this paper we consider the existence problem of affine connections on C-manifolds M whose coefficients are as regular as one needs. We show that if M admits a suitable subatlas, meaning a B α,β-structure for a certain presheaf of Fréchet spaces B and for certain functions α and β, then the existence of such regular connections can be established. It is also proved that if the B α,β-structure is actually nice (in the sense of [1]), then a multiplicity result can also be obtained by means of Thom’s transversality arguments.
{"title":"Geometric Regularity Results on B k α , β -Manifolds, I: Affine Connections","authors":"Y. Martins, R. J. Biezuner","doi":"10.31392/mfat-npu26_3.2021.05","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2021.05","url":null,"abstract":"In this paper we consider the existence problem of affine connections on C-manifolds M whose coefficients are as regular as one needs. We show that if M admits a suitable subatlas, meaning a B α,β-structure for a certain presheaf of Fréchet spaces B and for certain functions α and β, then the existence of such regular connections can be established. It is also proved that if the B α,β-structure is actually nice (in the sense of [1]), then a multiplicity result can also be obtained by means of Thom’s transversality arguments.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691883","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_2.2021.08
M. Ram
{"title":"Corrigendum to \"On Fixed Point Results for a Class of Generalized Mean Nonexpansive Mappings\"","authors":"M. Ram","doi":"10.31392/mfat-npu26_2.2021.08","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2021.08","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692026","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}
Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_4.2021.08
J. Kerner
{"title":"On the number of nodal domains on a rectangle with a slit","authors":"J. Kerner","doi":"10.31392/mfat-npu26_4.2021.08","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.08","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692723","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}
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