1,373 research outputs found
Semigroups of operators on Hardy spaces and cocycles of flows
No full text1 online resource (PDF, 10 pages)Jafari, Farhad; Slodkowski, Zbigniew; Tonev, Thomas. (2008). Semigroups of operators on Hardy spaces and cocycles of flows. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/179961
Some properties of Grauert type surfaces
No full textIn a previous work, we classified weakly complete surfaces which admit a real analytic plurisubharmonic exhaustion function; we showed that, if they are not proper over a Stein space, then they admit a pluriharmonic function, with compact Levi-flat level sets foliated with dense complex leaves. We called these Grauert type surfaces. In this note, we investigate some properties of these surfaces. Namely, we prove that the only compact curves that can be contained in them are negative in the sense of Grauert and that the level sets of the pluriharmonic function are connected, thus completing the analogy with the CartanâRemmert reduction of a holomorphically convex space. Moreover, in our classification theorem, we had to pass to a double cover to produce the pluriharmonic function; the last part of the present paper is devoted to the construction of an example where passing to a double cover cannot be avoided
On weakly complete surfaces [Sur les surfaces faiblement complètes]
No full textA weakly complete space is a (connected) complex space endowed with a (smooth) plurisubharmonic exhaustion function. In this paper, we classify the weakly complete surfaces (i.e. weakly complete manifolds of dimension 2) for which such exhaustion function can be chosen to be real analytic: they can be modifications of Stein spaces or proper (i.e. endowed with a proper surjective holomorphic map onto) a non-compact (possibly singular) complex curve or surfaces of Grauert type i.e. foliated with real analytic Levi flat hypersurfaces whose Levi foliation has dense complex leaves. In the last case, we also show that such Levi flat hypersurfaces are in fact level sets of a global proper pluriharmonic function, up to passing to a holomorphic double covering.Un espace complexe est dit faiblement
complet s'il est muni d'une fonction d'exhaustion plurisousharmonique. Dans ce
papier on classie les surfaces complexes faiblement complètes qui admettent une
fonction d'exhaustion plurisousharmonique et analytique réelle. Elles sont des types
suivants : modications des espaces de Stein, surfaces complexes propres sur des
courbes complexes non compactes, ou bien surfaces complexes de type Grauert
i.e. feuilletées par des hypersurfaces Levi plates dont les feuilles du feuilletage de
Levi sont partout denses. Dans ce dernier cas on montre aussi que, sauf à passer à
un double revêtement, les hypersurfaces Levi plates sont en fait les niveaux d'une
fonction pluriharmonique globale
Weakly complete complex surfaces
No full textA weakly complete space is a complex space that admits a (smooth) plurisubharmonic exhaustion function. In this paper, we classify those weakly complete complex surfaces for which such an exhaustion function can be chosen to be real analytic: they can be modifications of Stein spaces or proper over a non-compact (possibly singular) complex curve, or foliated with real-analytic Levi flat hypersurfaces which in turn are foliated by dense complex leaves (these we call "surfaces of Grauert type"). In the last case, we also show that such Levi flat hypersurfaces are in fact level sets of a global proper pluriharmonic function, up to passing to a holomorphic double cover of the space. Our method of proof is based on the careful analysis of the level sets of the given exhaustion function and their intersections with the \emph{minimal singular set}, that is, the set where every plurisubharmonic exhaustion function has a degenerate Levi form
Local maximum property and q-plurisubharmonic functions in uniform algebras
No full textAbstractThere is proven a formula expressing higher order Shilov boundaries of the tensor products of uniform algebras in terms of boundaries of the factor algebras. Main step: Cartesian product of k- and l-maximum sets is a (k + l + 1)-maximum set. (Definition: locally closed X⊂Cn is a k-maximum set if polynomials have local maximum property on intersections of X with (n-k)-dimensional complex planes.) Other properties and characterizations of k-maximum sets are given, e.g., X⊂Cn is a k-maximum set iff each k-plurisubharmonic function has local maximum property on X
Apocalipsis y entropía de la literatura estadounidense. Historias. Revista de la Dirección de Estudios Históricos Num. 82 (2012) mayo-agosto
No full textTomado del libro de Zbigniew Lewicki, The Bang and the Whimper. Apocalypse and Entropy in American Literature (Greenwood Press, 1984). Lewicki nació en 1945 en Lodz y es un estudioso de la civilización anglosajona
Zbigniew Herbert - Towards Mystery Of Socrates
No full textIn the essay the author follows Zbigniew Herbert’s path by asking a question: “What is a mystery of Socrates?”. The author wants to present that Zbigniew Herbert in his books took a journey, a spiritual wander, to the Greek roots (beginnings) to the European culture and sources of the European humanity. He distinguishes the difference between ‘root’ (or ‘beginning’) from ‘source’. “The portrait of Socrates” by Herbert reflects the two main dimensions of poet’s creative as well as philosophical aspirations. Socrates represents different reflections on the human condition. He encompasses various – for many philosophers – unpredictable dimensions of human existence. He has ability to rational, intellectual examination of the world as well as tendency to investigate his artistic poetic work and vocation. However, the mystery of Socrates appears to be a source of creative thinking
"Opening the great parable" : on Zbigniew Herbert’s writing of one of his poems
No full textThe main objective of the present article is to offer a reading of Zbigniew Herbert’s manuscripts, drawing upon French and British theories of genetic criticism. The author analyzes the physical shape of the page and the stages of the making of the poem with reference to specific examples based on materials collected in the Zbigniew Herbert archive at the National Library of Poland
Starosta lubelski Zbigniew Firlej (zm. 1649) i jego testament z dnia 31 grudnia 1648 roku. Karta z dziejów rodziny Firlejów herbu Lewart od połowy XVI do połowy XVII wieku
No full textThe paper focuses primarily on Zbigniew of Dąbrowica Firlej, Lewart coat of arms (1611–1649), son of the Sandomierz voivode Mikołaj (d. 1636) and the daughter of Lublin voivode Regina Oleśnicka, Dębno coat of arms. It also briefly presents the people who made up the family circle of the eponymous character, i.e. both of his grandfathers, Mikołaj Firlej (d. 1600) and Mikołaj Oleśnicki (d. 1629), his parents and their siblings, as well as the siblings of Zbigniew himself. The article discusses their family situation, property status and public activity. Much attention is paid, in particular, to the grandfather and father of the Lublin starost. Zbigniew Firlej was undoubtedly one of the last representatives of the Firlej family to play an important role on the political scene of the Polish- -Lithuanian Commonwealth. He was an educated man who spent several years studying abroad. In 1633, he became the starost of Lublin. After he had returned to Poland in 1636, he was very active politically. He participated in the sessions of the Lublin regional assembly (sejmik), served as a deputy to the Sejm many times, and was also a deputy to the Crown Tribunal. In 1638, he married Princess Anna Wiśniowiecka, Korybut coat of arms. Along with her hand, he received a huge dowry. He also became related to the leading families of the Crown magnates. In 1648, after the outbreak of Bohdan Khmelnytsky’s uprising, he headed a cavalry regiment raised at the expense of the nobility of the Lublin voivodeship. He was an envoy to the convocation. He took part in the battle of Piławce, which was lost by the Crown Army. After arriving in Warsaw, he took part in the election and cast his vote for Jan Kazimierz. The author thoroughly traces both Zbigniew Firlej’s achievements in the public sphere as well as his financial situation and activities in private life. The article contains many new findings. Several misleading or inaccurate findings concerning the closest family of the Lublin starost were also corrected. It is also worth noting that after the death of his first wife, Zbigniew Firlej remarried Katarzyna Opalińska of Bnin, the daughter of the Grand Marshal of the Crown Łukasz, who was only 10 years old at the time of the wedding. From his first marriage he left an only son Mikołaj (d. 1678). On 31 December 1648, Zbigniew Firlej, who was terminally ill at that time, made in Warsaw a very interesting will attached as an annex to this work. He died before 27 January 1649.Bohaterem prezentowanego tu tekstu jest Zbigniew z Dąbrowicy Firlej h. Lewart (1611–1649), syn wojewody sandomierskiego Mikołaja (zm. 1636) i wojewodzianki lubelskiej Reginy Oleśnickiej h. Dębno. W artykule przedstawiono też pokrótce osoby tworzące krąg rodzinny tytułowego bohatera, a więc obu jego dziadków, Mikołaja Firleja (zm. 1600) i Mikołaja Oleśnickiego (zm. 1629), jego rodziców i ich rodzeństwo, jak również rodzeństwo samego Zbigniewa. Omówiono ich sytuację rodzinną, stan posiadania oraz działalność publiczną. Sporo uwagi poświęcono zwłaszcza dziadkowi i ojcu starosty lubelskiego. Najwięcej miejsca zajęło jednak opisanie osiągnięć tytułowego bohatera tego tekstu. Był on bez wątpienia jednym z ostatnich przedstawicieli rodziny Firlejów odgrywających istotną rolę na scenie politycznej Rzeczypospolitej. Zbigniew Firlej był człowiekiem wykształconym. Kilka lat spędził na studiach zagranicznych. W 1633 r. został starostą lubelskim. Od chwili powrotu do kraju w 1636 r. był bardzo aktywnym politycznie. Uczestniczył w obradach sejmiku lubelskiego, wielokrotnie pełnił funkcję posła na sejm, był też deputatem do Trybunału Koronnego. W 1638 r. ożenił się z księżniczką Anną Wiśniowiecką h. Korybut. Wraz z jej ręką otrzymał ogromny posag. Skoligacił się też z czołowymi rodami magnaterii koronnej. W 1648 r., po wybuchu powstania Bohdana Chmielnickiego, stanął na czele pułku jazdy wystawionego na koszt szlachty województwa lubelskiego. Był posłem na konwokację. Uczestniczył w przegranej przez wojsko koronne bitwie pod Piławcami. Po przyjeździe do Warszawy wziął udział w elekcji i oddał swój głos na Jana Kazimierza. Autorowi udało się dokładnie prześledzić zarówno dokonania Zbigniewa Firleja w sferze publicznej, jak też jego sytuację majątkową i poczynania w życiu prywatnym. W artykule znalazło się wiele nowych ustaleń. Dokonano też korekty kilku bałamutnych lub też niedokładnych ustaleń dotyczących najbliższej rodziny starosty lubelskiego. Warto też odnotować, że po śmierci pierwszej żony Zbigniew Firlej ożenił się ponownie z liczącą w chwili ślubu zaledwie 10 lat Katarzyną z Bnina Opalińską, córką marszałka wielkiego koronnego Łukasza. Z pierwszego małżeństwa pozostawił jedynego syna Mikołaja (zm. 1678). W dniu 31 grudnia 1648 r. Zbigniew Firlej sporządził w Warszawie bardzo interesujący testament, który został załączony jako aneks do niniejszego opracowania. Był już wówczas śmiertelnie chory. Zmarł przed 27 stycznia 1649 r
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