Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.31 (2000) s1

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Editorial policy The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication. The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools. All submitted papers will be refereed. Manuscripts are accepted for review with the understanding that the work has not been published before and is not under consideration for publication elsewhere. Our journal can be obtained by exchange agreements with other similar journals.

Instructions for Authors Authors are invited to submit their papers by e-mail directly to one of the Managing Editors in PDF format. All the correspondence regarding the submission and the editorial process of the paper are done by e-mail. Papers have to be written in one of the following languages: English, French, German, or Italian. Abstracts should not exceed ten printed lines, except for papers written in French, German, or Italian, for which an extended English summary is required. After acceptance, manuscripts have to be prepared in LaTeX using the style rendiconti.cls which can be downloaded from the web page. Any figure should be recorded in a single PDF, PS (PostScript), or EPS (Encapsulated PostScript) file.

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Recent Submissions

Now showing 1 - 5 of 6
  • Publication
    On Topological Smallness
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 2000)
    Pfeffer, Washek
    We discuss a topological concepts of smallness and show that the field of real numbers contains a small uncountable subfield
      644  427
  • Publication
    Six Lectures on translation-invariant operators and subspace
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 2000)
    Olevskiǐ, Alexander
    This paper represents the text of a minicourse delivered by the author for participants of the \textquotedbl{}Workshop on Measure Theory and Real Analysis\textquotedbl{}, Grado, September-97. We consider topics on multiplier theory and translation-invariant subspaces in function spaces on groups $\mathbb{T}$ and $\mathbb{Z}$. Our goal is to give an introduction to the subject from the very beginning up to some recent results. The presentation is aimed at graduate students; no preliminaries in Fourier Analysis are supposed.
      828  378
  • Publication
    State spaces of orthomodular structures
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 2000)
    Navara, Mirko
    We present several known and one new description of orthomodular structures (orthomodular lattices, orthomodular posets and orthoalgebras). Originally, orthomodular structures were viewed as pasted families of Boolean algebras. Here we introduce semipasted families of Boolean algebras as an alternative description which is not as detailed, but substantially simplex. Semipasted families of Boolean algebras correspond to orthomodular structures in such a way that states and evaluation functionals are preserved. As semipasted families of Boolean algebras are quite general, they allow an easy construction of orthomodular structures with given state space properties. Based on this technique, we give a simplified proof of Shultz's Theorem on characterization of spaces of finitely additive states on orthomodular lattices. We also put some other results into the new context. We give a detailed exposition of the construction techniques as a tool for further applications, especially for finding counterexamples to questions about states on orthomodular structures.
      726  475
  • Publication
    Lifting and some of its applications to the theory of Pettis integral
    (2011-04-13)
    Musial, Kazimierz
    Basic facts concerning general lifting and lifting in products of finite measure spaces are presented. Then a few results on the Pettis integrability of Banach space valued functions and their lifting are proved.
      875  342
  • Publication
    Lectures on Rosenthal's l^1-theorem
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 2000)
    Behrends, Ehrhard
    Let $x\left(n\right)$ be a bounded sequence in a Banach space X. Rosenthal's $l^{1}$-theorem states that there is essentially only one exceptional situation where it is $\mathit{not}$ possible to extract a subsequence which is a weak Cauchy sequence: This happens if (x$_{n}$) is the sequence of unit vectors in $l^{1}$.The aim of these lectures is twofold: On the one hand results from the last few years centering around this theorem are presented, and on the other hand the opportunity is taken to introduce the audience to a number of techniques which are of importance in modern Banach space theory (Ramsey theory, Martin's axiom, ... ).
      658  312