✦ LIBER ✦

Daugavet centers and direct sums of Banach spaces

✍ Scribed by Tetiana V. Bosenko

Book ID: 111488581
Publisher: SP Versita
Year: 2010
Tongue: English
Weight: 701 KB
Volume: 8
Category: Article
ISSN: 1895-1074
DOI: 10.2478/s11533-010-0015-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Polyhedral direct sums of Banach spaces,

Polyhedral direct sums of Banach spaces, and generalized centers of finite sets

✍ Libor Veselý 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 250 KB

Countable Direct Sums of Banach Spaces

✍ M. Valdivia 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 287 KB

Let (XJF-1 be a sequence of infinite-dimensional BANACH spaces. We prove that 00 @ X, has a non-locally complete quotient if XI is not quasi-reflexive.

Topological direct sum decompositions of

Topological direct sum decompositions of banach spaces

✍ M. Valdivia 📂 Article 📅 1990 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 269 KB

Duality and Twisted Sums of Banach Space

Duality and Twisted Sums of Banach Spaces

✍ Félix Cabello Sánchez; Jesús M.F. Castillo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 140 KB

We give a negative answer to the three-space problem for the Banach space properties to be complemented in a dual space and to be isomorphic to a dual space (solving a problem of Vogt [Lectures held in the Functional Analysis Seminar, DusseldorfÂWuppertal, Jan Feb. 1987] and another posed by D@ az e

Generalized Daugavet Equations and Inver

Generalized Daugavet Equations and Invertible Operators on Uniformly Convex Banach Spaces

✍ C.-S. Lin 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 156 KB

In this article we shall introduce and investigate a notion of generalized 5 5 5 5 5 5 Daugavet equation I q S q T s 1 q S q T for operators S and T on a uniformly convex Banach space into itself, where I denotes the identity operator. This extends the well-known Daugavet equation 5 5 5 5 IqT s1q T

Extremal structure of the unit ball of d

Extremal structure of the unit ball of direct sums of Banach spaces

✍ Patrick N. Dowling; Satit Saejung 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 172 KB

We characterize the extreme points and smooth points of the unit ball of certain direct sums of Banach spaces. We use these results to characterize noncreasiness and uniform noncreasiness of direct sums, thereby extending results of the second author [S. Saejung, Extreme points, smooth points and no