scholarly journals Factorizations in preduals associated to ρ-contractions

2015 ◽  
Vol 53 (1) ◽  
pp. 3-17
Author(s):  
Bernard Chevreau ◽  
Aurelian Crăciunescu
Keyword(s):  
Functional Calculus ◽  
Property A ◽  
Absolutely Continuous ◽  
The Way

Abstract We establish directly factorization results for classes of ρ-contractions, corresponding to those obtained for certain classes of contractions. As an example of result which is not an immediate consequence of the fact that any ρ-contraction is similar to an ordinary contraction we give an "optimal" characterization of absolutely continuous ρ-contractions whose associated functional calculus has Property (Aא₀). Along the way we show that a ρ-contraction is absolutely continuous if and only if it admits an absolutely continuous unitary ρ-dilation generalizing a well- known result for usual contractions.

Shakespeare Afoot

2018 ◽  
Author(s):  
John Kerrigan
Keyword(s):  
Early Modern ◽  
Richard Iii ◽  
Midsummer Night's Dream ◽  
As You Like It ◽  
A Midsummer Night's Dream ◽  
History Of ◽  
The Way

That Shakespeare adds a limp to the received characterization of Richard III is only the most conspicuous instance of his interest in how actors walked, ran, danced, and wandered. His attention to actors’ footwork, as an originating condition of performance, can be traced from Richard III through A Midsummer Night’s Dream and As You Like It into Macbeth, which is preoccupied with the topic and activity all the way to the protagonist’s melancholy conclusion that ‘Life’s but a walking shadow, a poor player | That struts and frets his hour upon the stage’. Drawing on classical and early modern accounts of how people walk and should walk, on ideas about time and prosody, and the experience of disability, this chapter cites episodes in the history of performance to show how actors, including Alleyn, Garrick, and Olivier, have worked with the opportunities to dramatize footwork that are provided by Shakespeare’s plays.

scholarly journals Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights

2021 ◽  
Author(s):  
Bin Liu ◽  
Jouni Rättyä ◽  
Fanglei Wu
Keyword(s):  
Bergman Space ◽  
Open Problem ◽  
Lebesgue Space ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Carleson Measures ◽  
Doubling Weights ◽  
The Way

AbstractBounded and compact differences of two composition operators acting from the weighted Bergman space $$A^p_\omega $$ A ω p to the Lebesgue space $$L^q_\nu $$ L ν q , where $$0<q<p<\infty $$ 0 < q < p < ∞ and $$\omega $$ ω belongs to the class "Equation missing" of radial weights satisfying two-sided doubling conditions, are characterized. On the way to the proofs a new description of q-Carleson measures for $$A^p_\omega $$ A ω p , with $$p>q$$ p > q and "Equation missing", involving pseudohyperbolic discs is established. This last-mentioned result generalizes the well-known characterization of q-Carleson measures for the classical weighted Bergman space $$A^p_\alpha $$ A α p with $$-1<\alpha <\infty $$ - 1 < α < ∞ to the setting of doubling weights. The case "Equation missing" is also briefly discussed and an open problem concerning this case is posed.

scholarly journals The spectral theorem for well-bounded operators

1993 ◽  
Vol 54 (3) ◽  
pp. 334-351 ◽  
Author(s):  
Ian Doust ◽  
Qiu Bozhou
Keyword(s):  
Functional Calculus ◽  
Continuous Functions ◽  
Weak Compactness ◽  
Compact Interval ◽  
Spectral Theorem ◽  
Type B ◽  
Bounded Operators ◽  
Absolutely Continuous Functions ◽  
Absolutely Continuous

AbstractWell-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact interval. Depending on the weak compactness of this functional calculus, one obtains one of two types of spectral theorem for these operators. A method is given which enables one to obtain both spectral theorems by simply changing the topology used. Even for the case of well-bounded operators of type (B), the proof given is more elementary than that previously in the literature.

scholarly journals cis-Tetrachlorido-bis(indazole)osmium(iv) and its osmium(iii) analogues: paving the way towards the cis-isomer of the ruthenium anticancer drugs KP1019 and/or NKP1339

2017 ◽  
Vol 46 (35) ◽  
pp. 11925-11941 ◽  
Author(s):  
Gabriel E. Büchel ◽  
Susanne Kossatz ◽  
Ahmad Sadique ◽  
Peter Rapta ◽  
Michal Zalibera ◽  
...  
Keyword(s):  
Anticancer Drugs ◽  
Synthesis And Characterization ◽  
Cis Isomer ◽  
The Way

The synthesis and characterization of cis-[OsIVCl4(κN2-1H-indazole)2] and its 1e-reduced analog are reported.

scholarly journals Point configurations, phylogenetic trees, and dissimilarity vectors

2021 ◽  
Vol 118 (12) ◽  
pp. e2021244118
Author(s):  
Alessio Caminata ◽  
Noah Giansiracusa ◽  
Han-Bom Moon ◽  
Luca Schaffler
Keyword(s):  
Phylogenetic Trees ◽  
Geometric Interpretation ◽  
Explicit Characterization ◽  
Point Configurations ◽  
Definition Of ◽  
Tropical Basis ◽  
The Way

In 2004, Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the tropical Grassmannian. Multiple authors, using independent methods, answered affirmatively the first of these questions, showing that dissimilarity vectors lie on the tropical Grassmannian, but the second question, whether the set of dissimilarity vectors forms a tropical subvariety, remained opened. We resolve this question by showing that the tropical balancing condition fails. However, by replacing the definition of the dissimilarity map with a weighted variant, we show that weighted dissimilarity vectors form a tropical subvariety of the tropical Grassmannian in exactly the way that Pachter and Speyer envisioned. Moreover, we provide a geometric interpretation in terms of configurations of points on rational normal curves and construct a finite tropical basis that yields an explicit characterization of weighted dissimilarity vectors.

scholarly journals Possible Worlds in Translation: Coleman Barks’s Rendition of a Story from Rumi’s Masnavi

2021 ◽  
Vol 44 (3) ◽  
Author(s):  
Vahid Medhat ◽  
Hossein Pirnajmuddin ◽  
Pyeaam Abbasi
Keyword(s):  
Internal Structure ◽  
English Translation ◽  
Possible Worlds ◽  
Translation Studies ◽  
Original Text ◽  
Main Character ◽  
Source Text ◽  
Narrative Worlds ◽  
The Way

This article applies the theory of possible worlds to the field of translation studies by examining the narrative worlds of original and translated texts. Specifically, Marie-Laure Ryan’s characterization of possible worlds provides an account of the internal structure of the textual universe and the progression of the plot. Based on this account, one of the stories from Rumi’s Masnavi is compared to Coleman Barks’s English translation. The possible worlds of the characters and the unfolding of the plots in both texts are examined to assess the degree of compatibility between the textual universes of the original and the translated texts and how significant this might be. It also examines how readers reconstruct the narrative worlds projected by the two texts. The analysis reveals some inconsistencies in the way the textual universes of the original and translated texts are furnished and in the way readers reconstruct the narrative worlds of the two texts. The inability of translation to fully render the main character results in some loss in terms of the pungency and pithiness of the original text. It is also shown that the source text presents a richer domain of the virtual in comparison, suggesting a higher degree of tellability in the textual universe of the Masnavi’s narrative.

scholarly journals Novel Mega Best-Seller Karya Luluk HF Mariposa dalam Kajian Resepsi Sastra

2021 ◽  
Vol 19 (2) ◽  
pp. 152
Author(s):  
Tania Intan ◽  
Muhamad Adji
Keyword(s):  
Aggressive Behavior ◽  
Research Data ◽  
The Novel ◽  
Research Results ◽  
Female Protagonist ◽  
Data Source ◽  
The Difference ◽  
Horizon Of Expectations ◽  
The Way

This study discusses the reception of readers of the mega best-seller novel entitled Mariposa by Luluk HF. The purpose of this study is to (1) describe the reader's responses, (2) describe the horizon of readers' expectations, and (3) describe the factors that cause differences in responses and the horizon of expectations of readers of Mariposa's novel. The method applied is descriptive qualitative. This study uses a reception aesthetic approach that seeks to find consistent reception patterns as a reflection of the way the reader responds to the text. The research data consisted of texts containing the responses of twenty respondents from the data source in the form of the Goodreads reader site. The research results obtained are as follows. First, not all readers respond positively to the intrinsic elements of the novel, especially the characterization of the female protagonist who is considered to show aggressive behavior with a love motive. Second, most of the horizons of readers' expectations do not match the reality in Mariposa. Readings are generally motivated by curiosity because of the hyperbolic labeling of the novel, recommendations from friends, and the discourse of filming the novel. Third, the factors that cause the difference or suitability of the horizon of readers' expectations for the Mariposa novel are knowledge of literature, knowledge of life, and experience of reading literary works.

scholarly journals Isothermic surfaces in sphere geometries as Moutard nets

2007 ◽  
Vol 463 (2088) ◽  
pp. 3171-3193 ◽  
Author(s):  
Alexander I Bobenko ◽  
Yuri B Suris
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Gauss Map ◽  
Point Property ◽  
Property A ◽  
Lie Geometry ◽  
Möbius Geometry ◽  
Isothermic Surfaces ◽  
Three Dimensional Space

We give an elaborated treatment of discrete isothermic surfaces and their analogues in different geometries (projective, Möbius, Laguerre and Lie). We find the core of the theory to be a novel characterization of discrete isothermic nets as Moutard nets. The latter are characterized by the existence of representatives in the space of homogeneous coordinates satisfying the discrete Moutard equation. Moutard nets admit also a projective geometric characterization as nets with planar faces with a five-point property: a vertex and its four diagonal neighbours span a three-dimensional space. Restricting the projective theory to quadrics, we obtain Moutard nets in sphere geometries. In particular, Moutard nets in Möbius geometry are shown to coincide with discrete isothermic nets. The five-point property, in this particular case, states that a vertex and its four diagonal neighbours lie on a common sphere, which is a novel characterization of discrete isothermic surfaces. Discrete Laguerre isothermic surfaces are defined through the corresponding five-plane property, which requires that a plane and its four diagonal neighbours share a common touching sphere. Equivalently, Laguerre isothermic surfaces are characterized by having an isothermic Gauss map. S-isothermic surfaces as an instance of Moutard nets in Lie geometry are also discussed.

Characterization of an Urban System

2018 ◽  
pp. 68-86
Keyword(s):  
Urban Development ◽  
Urban System ◽  
Sustainable Urban Development ◽  
Potential Threat ◽  
Correct Representation ◽  
The Impact ◽  
The Way

Correct representation of characteristics of different attributes of a city helps in understanding the impact of these attributes on evolution of a city. And the way they are dependent on each other. It may further help in identifying the factors which can be a potential threat to sustainable urban development. This chapter aims to develop an understanding about the meaning and significance of characterization of a city, or say, an urban system. In addition, it provides detail about the approaches which can be adopted for characterizing an urban system. It is expected that this chapter will succeed in developing a good understanding about the need and significance of accurate and effective characterization of a city in the context of sustainable urban development.

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