Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals

This is a survey article of geometric properties of noncommutative symmetric spaces of measurable operators $E(\mathcal{M},\tau)$, where $\mathcal{M}$ is a semifinite von Neumann algebra with a faithful, normal, semifinite trace $\tau$, and $E$ is a symmetric function space. If $E\subset c_0$ is a symmetric sequence space then the analogous properties in the unitary matrix ideals $C_E$ are also presented. In the preliminaries we provide basic definitions and concepts illustrated by some examples and occasional proofs. In particular we list and discuss the properties of general singular value function, submajorization in the sense of Hardy, Littlewood and P\'olya, K\"othe duality, the spaces $L_p(\mathcal{M},\tau)$, $1\le p<\infty$, the identification between $C_E$ and $G(B(H), \rm{tr})$ for some symmetric function space $G$, the commutative case when $E$ is identified with $E(\mathcal{N}, \tau)$ for $\mathcal{N}$ isometric to $L_\infty$ with the standard integral trace, trace preserving $*$-isomorphisms between $E$ and a $*$-subalgebra of $E(\mathcal{M},\tau)$, and a general method of removing the assumption of non-atomicity of $\mathcal{M}$. The main results on geometric properties are given in separate sections. We present the results on (complex) extreme points, (complex) strict convexity, strong extreme points and midpoint local uniform convexity, $k$-extreme points and $k$-convexity, (complex or local) uniform convexity, smoothness and strong smoothness, (strongly) exposed points, (uniform) Kadec-Klee properties, Banach-Saks properties, Radon-Nikod\'ym property and stability in the sense of Krivine-Maurey. We also state some open problems

Intersemiotic Translation of Ancient Myth in the Production of Phaedra by Maja Kleczewska

The present paper tends to analyze the procedure of intersemiotic translation of ancient myth of Phaedra, in its written version by Euripides (Hippolytus), into the contemporary stage production of Phaedra by Maja Kleczewska. The analysis of the performance is preceded by the extended introduction regarding reception of myth in general, and reception of Phaedra myth in particular. In this context, theories of Hans Blumenberg and Gilbert Durand are recalled in order to establish the understanding of myth’s transformation. Myth of Phaedra is scrutinized diachronically and synchronically within the background of Maurice Merleau-Ponty’s idea of body and sexuality. The theatre production is explored with reference to its textual basis (Euripides, Seneca, Tasnádi, Enquist) on the one hand, and in relation to the contemporary theories of actor’s body (Erika Fischer-Lichte, Hans-Thies Lehmann). The overarching goal of the paper is to analyze the procedure of intersemiotic translation of the mythical core of Phaedra myth (defined in terms of body) into actor’s body on stage (defined in its phenomenology).finansowanie z program SONATA Narodowego Centrum Nauki (DEC-2012/07/D/HS2/01106

The didactic dimension of mythological figures in Greek literature and scholia

W artykule zostaje podjęty problemem typu bohatera i antybohatera wykreowanego w literaturze przez antyczną kulturę grecką. Z uwagi na to, że problem ten w aspekcie diachronicznym jest bardzo szeroki, dlatego, chcąc dokonać jego pogłębionej analizy, konieczne jest zawężenie pola badawczego. Artykuł podejmuje zatem omawianą kwestię w eposie Homera, przy czym zostają w nim zestawione stworzone przez epika paradygmaty postaw bohaterów mitologicznych z postaciami wykreowanymi przez Eurypidesa. O wyborze tym zadecydował fakt, że utwory obu poetów możemy uznać za reprezentatywne dla ukazania świata wartości epok, w których tworzyli, oraz to, że u wymienionych poetów te same postacie mitologiczne podlegają niekiedy zupełnie odmiennej waloryzacji.The paper discusses the types of heroes and anti-heroes established in literature by ancient Greek culture. In order to provide a full treatment of the subject, which in its diachronic aspect is very broad, the field of research has been limited. As a result, the present paper analyzes examples of mythological figures in the epic poems of Homer in juxtaposition with those found in Euripidean drama. The two authors have been chosen in view of the fact that their works are model representations of the values of their times as well as of the noticeable differences between them in evaluating the same mythological figures

Female Deities And Demons In Greek Tragedy

The article focuses on female deities and demons appearing in ancient Greek tragedy. At the beginning the classification of female deities and demons is made followed by description of its two categories. The first category consists of deus ex machina characters exemplified by Athena from Iphigenia in Tauris by Euripides. The second is depicted in the image of Erynies that appear both in the action (Aeschylus’ Eumenides) and in commentaries (Euripides’ Iphigenia in Tauris)

Filologia klasyczna Uniwersytetu Łódzkiego - wielcy badacze, niezapomniane osobowości

Zadanie pt. „Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki” nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej nauk

CZYNNIKI KSZTALTUJACE PlYNNOSC FINANSOWA PRZEDSIEBIORSTW PRZEMYSLU SPOZYWCZEGO W POLSCE

W artykule zaprezentowano wyniki analizy czynnikow ksztaltujacych plynnosc finansowa w przedsiebiorstwach przemyslu spozywczego w Polsce w latach 2005–2008. W analizie wykorzystano propozycje przyczynowo-skutkowego powiazania czynnikow ksztaltujacych plynnosc finansowa, w ktorej poziom plynnosci determinowany jest przez strukture aktywow, rotacje zobowiazan biezacych oraz strategie finansowania wyrazona mnoznikiem kapitalowym i stopniem finansowania dzialalnosci kapitalem wlasnym.plynnosc finansowa, czynniki ksztaltujace plynnosc finansowa, przemysl spozywczy, analiza regresji