Acta Universitatis Lodziensis. Folia Mathematica vol. 17/2010http://hdl.handle.net/11089/181542019-09-19T04:43:30Z2019-09-19T04:43:30ZSome Non-Measurable SetsKierus, Alicjahttp://hdl.handle.net/11089/181602018-02-01T11:20:30Z2010-01-01T00:00:00ZSome Non-Measurable Sets
Kierus, Alicja
This paper contains constructions of some non-measurable sets,
based on classical Vitali’s and Bernstein’s constructions (see for example [6]).
This constructions probably belong to mathematical folklore, but as far as
we know they are rather hard to be found in literature. It seems that the
constructed sets can be used as examples in some interesting situations.
2010-01-01T00:00:00ZOn Compact Sets of Compact Operators on Banach Spaces not Containing a Copy of l^1Akkouchi, Mohamedhttp://hdl.handle.net/11089/181572018-02-01T11:20:32Z2010-01-01T00:00:00ZOn Compact Sets of Compact Operators on Banach Spaces not Containing a Copy of l^1
Akkouchi, Mohamed
F. Galaz-Fontes (Proc. AMS., 1998) has established a criterion
for a subset of the space of compact linear operators from a reflexive and
separable space X into a Banach space Y to be compact. F. Mayoral (Proc.
AMS., 2000) has extended this criterion to the case of Banach spaces not
containing a copy of l^1 . The purpose of this note is to give a new proof of the
result of F. Mayoral. In our proof, we use l^∞ -spaces, a well known result of
H. P. Rosenthal and L.E. Dor which characterizes the spaces without a copy
of l^1 and a recent result obtained by G. Nagy in 2007 concerining compact
sets in normed spaces. We point out that another proof of Mayoral’s result
was given by E. Serrano, C. Pineiro and J.M. Delgado (Proc. AMS., 2006) by
using a different method.
2010-01-01T00:00:00ZOn a Generalized Sturm-Liouville ProblemAndrzejczak, GrzegorzPoreda, Tadeuszhttp://hdl.handle.net/11089/181562018-02-01T11:20:34Z2010-01-01T00:00:00ZOn a Generalized Sturm-Liouville Problem
Andrzejczak, Grzegorz; Poreda, Tadeusz
Basic results of our paper are devoted to a generalized Sturm-Liouville problem.
2010-01-01T00:00:00ZA Classical Approach to Dynamics of Parabolic Competitive SystemsPietruk, MałgorzataPrzeradzki, Bogdanhttp://hdl.handle.net/11089/181552018-02-01T11:20:34Z2010-01-01T00:00:00ZA Classical Approach to Dynamics of Parabolic Competitive Systems
Pietruk, Małgorzata; Przeradzki, Bogdan
We study the reaction-diffusion system, its stationary solutions,
the behavior of the system near them and discuss similarities and differences
for different boundary conditions.
2010-01-01T00:00:00Z