Recent progress on the daugavet property

Author: nynx

August undefined, 2024

WebbThe interest in this topic goes back to 1963, when I. Daugavet [1] showed that each compact operator T on C[0,1]satisﬁes the norm equality (DE) kId+Tk =1+kTk. The above equation is nowadays referred to as Daugavet equation. A Banach space X is said to have the Daugavet property if(DE)holds for every rank-one operator T∈L(X). WebbAbstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework …

Introduction - ugr.es

Webb4 aug. 2024 · By [23, Corollary 2.3], the Banach space X has the Daugavet property if and only if every element of the unit sphere S X is a Daugavet point. Therefore, the concept of … WebbDOI: 10.1016/j.aim.2024.109005 Corpus ID: 234339311; Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions @article{Jung2024DaugavetPO, title={Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions}, author={Mingu Jung}, … linkpoly

Diameter Two Properties, Convexity and Smoothness

WebbIt is also well-known that the polynomial Daugavet property can be described in terms of scalar-valued polynomials. Theorem 1.5. [7, Corollary 2.2] Let Xbe a real or complex … Webbspace Xhas the Daugavet property if and only if every element of the unit sphere S X is a Daugavet point. Therefore, the concept of Daugavet points can be faced as a local … WebbAdvancing research. Creating connections. links jeans

NUMERICAL INDEX AND THE DAUGAVET PROPERTY FOR L µ,X

The p-Daugavet property for function spaces SpringerLink

WebbOur paper is motivated by a recent paper [16] by X. Huang, D. Tan, and R. Wang, where the study of numerical range is extended to non-linear Lipschitz operators. They show, among other interesting results that we shall comment on, that the connection between the Daugavet and the alternative Daugavet equations and the http://www.math.u-szeged.hu/~stacho/guer-mig05.pdf links kittensWebbBanach spaces with the Daugavet property, and the centralizer. Julio Guerrero. 2008, Journal of Functional Analysis. Read Now Download Free PDF. ... Recent Progress in … linkrh ponto

"Webbthe seminal paper [36] and to the more recent [32,43,47,58] and references therein for more information and background. A very related property to the DPr is the following one. A … " - Recent progress on the daugavet property

Recent progress on the daugavet property

The Daugavet property of C -algebras, -triples, and of their …

Webb17.30 - 18.00 riinTu Veeorg: Daugavet- and Delta-points in spaces of Lips-chitz functions 18.00 - 18.30 Davide Ravasini: Compactivorous sets and their ole in Haar negligibility Section B, Grottesca's Room Chairwoman: Mirella Cappelletti Montano 16.30 - 17.00 Stefan Ivkovi¢*: On various classes of hypercyclic operators on Banach spaces WebbA Banach space X is said to have the Daugavet property if every rank-one operator T:X −→X satisﬁes Id+T=1 +T. We give geometric characterizations of this property in the …

Did you know?

WebbRecent Progress on the Daugavet Property (2001) Cached Download Links [www.maths.tcd.ie] Save to List Add to Collection Correct Errors Monitor Changes by … WebbRECENT PROGRESS ON THE DAUGAVET PROPERTY DIRK WERNER 1. Introduction It isaremarkable resultduetoI.K.Daugavet [8] that thenormidentity (1.1) Id+T =1+ T , …

WebbRecent Progress on the Daugavet Property DIRK WERNER 1. Introduction It is a remarkable result due to I.K. Daugavet [8] that the norm identity kId+ Tk = 1+ kTk; (1.1) which has … WebbAbstract. A polynomial $Q: X \\rightarrow Y$ is called a polynomial Daugavet center if the equality $$\\begin{equation*} \\ Q + P \\ = \\ Q\\ + \\ P \\ \\end{equation

WebbNext, we show that the Daugavet property and the polynomial Daugavet property are equivalent for L1-preduals and for spaces of Lipschitz functions. Finally, an improvement …

WebbThe Daugavet property A Banach space X is said to have the Daugavet property if every rank-one operator on X satisﬁes (DE). If X∗ has the Daugavet property, so does X. The …

WebbAbstract. A natural extension of the Daugavet property for p-convex Banach function spaces and related classes is analysed. As an appli-cation, we extend the arguments … links nominationWebbRecent Progress on the Daugavet Property @article{Werner2001RecentPO, title={Recent Progress on the Daugavet Property}, author={Dirk Werner}, journal={Irish Mathematical … linkseeWebb19 dec. 2024 · In fact, we get that a Banach space whose density character is verifies the Daugavet property if, and only if, the set of vectors in being -orthogonal to is weak-star dense in . We also prove that, under CH, the previous characterisation is false for Banach spaces with larger density character. links komponenteWebbFree essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics linksky value hostingWebbWe introduce an isomorphic property for (separable) Banach spaces called Slicely Countable Determined (SCD) such that it is satisﬁed by RNP spaces, it is satisﬁed by spaces not containing ‘ 1. We present some stability results. We apply SCD to get results for the Daugavet property, the alternative Daugavet property and spaces with ... links puzzle solutionWebb1 juni 2004 · We give some geometric characterizations of the alternative Daugavet property in terms of the space and its successive duals. We prove that the ADP is stable … linksoul salehttp://www.math.fu-berlin.de/publ/preprints/2001/Ab-A-01-01.html linksolutions sams