Recent progress on the daugavet property

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August undefined, 2024

WebbA Banach space Bis said to have the Daugavet property if every rank one operator T: B→ Bsatisﬁes the Daugavet equation kId +Tk = 1 +kTk, where Id is the identity map on B. In the setting of Banach function spaces, several recent papers have analysed for which ones the Daugavet property is satisﬁed. Webb21 nov. 2024 · Daugavet property tensor product spaces octahedral norms MSC classification Primary: 46B04: Isometric theory of Banach spaces Secondary: 46B20: …

Daugavet property of Banach algebras of holomorphic functions …

WebbDéfinition. Soit X un espace de Banach. On dit que X a la propriété de Daugavet si l'équation ‖ + ‖ = + ‖ ‖ est vérifiée pour tout opérateur borné T de rang 1. Rappelons qu'un opérateur … 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). chinese food bell blvd

Banach spaces with the Daugavet property, and the centralizer

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 … Webb17 apr. 2024 · We introduce a strictly weaker version of the Daugavet property as follows: a Banach space X has this alternative Daugavet property (ADP in short) if the norm … Webb25 maj 2011 · Recent progress on the Daugavet property, Irish Math. Soc. Bulletin 46, 77–97 (2001) Google Scholar Download references. Author information. Authors and Affiliations. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain. Enrique A ... chinese food bellevue tn

Recent Progress on the Daugavet Property - Trinity College Dublin

(PDF) Recent Progress on the Daugavet Property

Webb1 jan. 2001 · Recent Progress on the Daugavet Property Authors: Dirk Werner Freie Universität Berlin Abstract which has become known as the Daugavet equation, holds for … WebbConsequently, we obtain that some Banach algebras of holomorphic functions on an arbitrary Banach space have the Daugavet property which extends the observation of P. … grand hyatt nashville tn directionsWebbON GEOMETRIC PROPERTIES OF THE SPACES Lp(x) JAROSLAV LUKES, LUBO S PICK AND DU SAN POKORNY Abstract. We study the re exivity, the uniform convexity, the Daugavet property and the Radon-Nikodym property of the generalized Lebesgue spaces Lp(x). 1. Introduction In what follows, (;S; ) will be a measure space with a ˙{ nite complete mea … grand hyatt nashville tn reviews

"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 … " - Recent progress on the daugavet property

Recent progress on the daugavet property

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}, … 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 …

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Webb27 feb. 2024 · We show that Δ- and Daugavet points are the same in L 1-spaces, in L 1-preduals, as well as in a big class of Müntz spaces. We also provide an example of a … WebbXhas the Daugavet property (DPr) if the Daugavet equation (DE) kId + Tk= 1 + kTk holds for every rank-one operator T: X ! X, where Id denotes the identity operator. In this case, all weakly compact operators also satisfy (DE). We refer the reader to the seminal paper [35] for background. Recent results can be found in [42] and references therein.

WebbThe article focuses on the topic(s): Property (philosophy). Menu. Log in Sign up. Search / Papers / Recent Progress on the Daugavet Property; Open access • Journal Article • DOI: 10.33232/BIMS.0046.77.97 • Recent Progress on the Daugavet Property ... WebbThe article focuses on the topic(s): Property (philosophy). Menu. Log in Sign up. Search / Papers / Recent Progress on the Daugavet Property; Open access • Journal Article • DOI: …

WebbAdvancing research. Creating connections. Webb19 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.

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 …

WebbWe 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 ... grand hyatt near grand centralWebbIf the pair (X;Y) has the Daugavet property, then (X;Y) has the Daugavet property for weakly compact operators. Actually, the proof will show that the Daugavet property holds for an … chinese food belfort road chinese food belmar njWebbthe 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 … chinese food bellevue idahoWebbspace 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 … chinese food bellinghamWebbIt 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 … chinese food bella vista arWebb17.30 - 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 grand hyatt nashville tn phone number