{"title":"Deviation from weak Banach–Saks property for countable direct sums","authors":"A. Kryczka","doi":"10.1515/UMCSMATH-2015-0005","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0005","url":null,"abstract":"We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach–Saks property. We prove that if (X v ) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach–Saks property, then the deviation from the weak Banach–Saks property of an operator of a certain class between direct sums E(X v ) is equal to the supremum of such deviations attained on the coordinates X v . This is a quantitative version for operators of the result for the Kothe–Bochner sequence spaces E(X) that if E has the Banach–Saks property, then E(X) has the weak Banach–Saks property if and only if so has X.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"148 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134176605","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}
{"title":"On the zeros of polynomials and analytic functions","authors":"R. Lal, Susheel Kumar, S. Hans","doi":"10.2478/V10062-011-0008-3","DOIUrl":"https://doi.org/10.2478/V10062-011-0008-3","url":null,"abstract":"For a polynomial of degree n, we have obtained some results, which generalize and improve upon the earlier well known results (under certain conditions). A similar result is also obtained for analytic function.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"951 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123727254","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}
{"title":"Some framed f -structures on transversally Finsler foliations","authors":"C. Ida","doi":"10.2478/V10062-011-0007-4","DOIUrl":"https://doi.org/10.2478/V10062-011-0007-4","url":null,"abstract":"Some problems concerning to Liouville distribution and framed (f)-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed (f(3,varepsilon))- structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125797698","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}
{"title":"On semi-typically real functions","authors":"L. Koczan, K. Tra̧bka-Wiȩcław","doi":"10.2478/V10062-009-0013-Y","DOIUrl":"https://doi.org/10.2478/V10062-009-0013-Y","url":null,"abstract":"Suppose that A is the family of all functions that are analytic in the unit disk and normalized by the condition f(0) = f 0 (0) 1 = 0. For a given A A","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116857340","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}
{"title":"The Poisson extension of K-quasihomography on the unit circle","authors":"J. Stankiewicz, K. Wilczek","doi":"10.2478/V10062-011-0025-2","DOIUrl":"https://doi.org/10.2478/V10062-011-0025-2","url":null,"abstract":"","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116894874","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}
{"title":"Remarks on best approximation in R-trees","authors":"W. A. Kirk, B. Panyanak","doi":"10.2478/V10062-009-0012-Z","DOIUrl":"https://doi.org/10.2478/V10062-009-0012-Z","url":null,"abstract":"An R-tree is a geodesic space for which there is a unique arc joining any two of its points, and this arc is a metric segment. If X is a closed convex subset of an R-tree Y; and if T : X ! 2 Y is a multivalued mapping, then a point z for which 0 < dist(z;T (z)) = inf x2X dist(x;T (z)) is called a point of best approximation. It is shown here that if T is an \"- semicontinuous mapping whose values are nonempty closed convex subsets of Y; and if T has at least two distinct points of best approximation, then T must have a fixed point. We also obtain a common best approximation theorem for a commuting pair of mappings t : X ! Y and T : X ! 2 Y where t is single-valued continuous and T is \"-semicontinuous.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129618963","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}
O. Ahuja, G. Murugusundaramoorthy, S. Sivasubramanian
{"title":"Differential sandwich theorems for multivalent functions","authors":"O. Ahuja, G. Murugusundaramoorthy, S. Sivasubramanian","doi":"10.2478/V10062-008-0001-7","DOIUrl":"https://doi.org/10.2478/V10062-008-0001-7","url":null,"abstract":"","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123136207","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}
{"title":"A note on Professor Jan Grzegorz Krzyż","authors":"E. Złotkiewicz","doi":"10.2478/v10062-011-0026-1","DOIUrl":"https://doi.org/10.2478/v10062-011-0026-1","url":null,"abstract":"[Editor's note: a webpage dedicated to Professor Jan Grzegorz Krzyz is available at the address http://math.umcs.lublin.pl/Krzyz/ ]","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124660093","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}
{"title":"On certain generalized q-Appell polynomial expansions","authors":"T. Ernst","doi":"10.1515/UMCSMATH-2015-0004","DOIUrl":"https://doi.org/10.1515/UMCSMATH-2015-0004","url":null,"abstract":"We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials as well as to some related polynomials. In order to find a certain formula, we introduce a q-logarithm. We conclude with a brief discussion of multiple q-Appell polynomials.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124838986","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}
{"title":"Eine Klasse nichtschlichter konformer Abbildungen mit einer schlichten quasikonformen Fortsetzung. II","authors":"R. Kühnau","doi":"10.2478/V10062-011-0013-6","DOIUrl":"https://doi.org/10.2478/V10062-011-0013-6","url":null,"abstract":"We study a dual analogue of the class (Sigma(kappa)) of hydrodynamically normalized schlicht conformal mappings (g(z)) of the exterior of the unit circle with a (frac{1+kappa}{1-kappa})-quasiconformal extension, namely now those (non-schlicht) mappings (g(z)) for which (overline{g(z)}) has such a quasiconformal extension.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127174220","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}