On operators which attain their norm
From MaRDI portal
Publication:2394189
DOI10.1007/BF02759700zbMath0127.06704OpenAlexW2134184786MaRDI QIDQ2394189
Publication date: 1963
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02759700
Related Items (only showing first 100 items - show all)
Numerical index and renorming ⋮ Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ ON THE NORM ATTAINING OPERATORS ⋮ The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ A geometric proof of Ryll-Nardzewski’s fixed point theorem ⋮ The conjugate of a smooth Banach space ⋮ Symmetric block bases of sequences with large average growth ⋮ On the denseness of minimum attaining operators ⋮ Norm attaining operators and variational principle ⋮ Norm-attaining operators which satisfy a Bollobás type theorem ⋮ Several remarks on norm attainment in tensor product spaces ⋮ A generalized ACK structure and the denseness of norm attaining operators ⋮ Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions ⋮ The Bishop–Phelps–Bollobás properties in complex Hilbert spaces ⋮ Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators ⋮ A note on numerical radius attaining mappings ⋮ On the Crawford number attaining operators ⋮ Continuity of convex functions at the boundary of their domains: an infinite dimensional Gale-Klee-Rockafellar theorem ⋮ Weak-star quasi norm attaining operators ⋮ A Bishop-Phelps-Bollobás theorem for bounded analytic functions ⋮ On the denseness of minimum attaining operator-valued functions ⋮ A Geometrical Characterization of Banach Spaces with the Radon-Nikodym Property ⋮ On the closure of absolutely norm attaining operators ⋮ ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY ⋮ Unnamed Item ⋮ Vector-valued numerical radius and \(\sigma\)-porosity ⋮ On Weakly Compact Subsets of Banach Spaces ⋮ Rank-one perturbations and norm-attaining operators ⋮ On a set of norm attaining operators and the strong Birkhoff-James orthogonality ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ There is no operatorwise version of the Bishop–Phelps–Bollobás property ⋮ Property (quasi-α) and the denseness of norm attaining mappings ⋮ Some kind of Bishop-Phelps-Bollobás property ⋮ Geometric properties of the norm and basic sequences in Banach spaces ⋮ A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces ⋮ Best approximation by compact operators. II ⋮ Denseness of norm-attaining operators into strictly convex spaces ⋮ On interpolation by analytic maps in infinite dimensions ⋮ The Bishop-Phelps theorem fails for uniform non-selfadjoint dual operator algebras ⋮ Denseness of Operators Whose Second Adjoints Attain Their Numerical Radii ⋮ Denseness for norm attaining operator-valued functions ⋮ Norm attaining operators ⋮ The Bishop–Phelps–Bollobás theorem on bounded closed convex sets ⋮ Note on separation of convex sets ⋮ On the Bishop–Phelps–Bollobás property ⋮ Reflexivity and nonweakly null maximizing sequences ⋮ On the Bishop–Phelps–Bollobás theorem for operators and numerical radius ⋮ Farthest points of sets in uniformly convex Banach spaces ⋮ Extreme point properties of convex bodies in reflexive Banach spaces ⋮ On a subclass of norm attaining operators ⋮ Fréchet differentiability of convex functions ⋮ Intersections by hyperplanes ⋮ Neighborhoods of extreme points ⋮ The Bishop-Phelps-Bollobás theorem and Asplund operators ⋮ Strongly Exposed Points in Weakly Compact Convex Sets in Banach Spaces ⋮ Translation invariant convex metrics ⋮ Strongly extreme points in Banach spaces ⋮ On Exposed Points of the Range of a Vector Measure. II ⋮ Correction to: ``On the homotopy type of principal classical group bundles over spheres ⋮ A renorming of dual spaces ⋮ A Remark on Strongly Exposing Functionals ⋮ Norm Attaining Bilinear Forms on Spaces of Continuous Functions ⋮ A Bishop-Phelps-Bollobás type property for minimum attaining operators ⋮ The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B ⋮ Supporting vectors for the ℓ_p-norm ⋮ On norm attaining polynomials. ⋮ Norm or numerical radius attaining polynomials on \(C(K\)) ⋮ The Bishop-Phelps-Bollobás property for operators on \(\mathcal{C}(K)\) ⋮ Uniform convexity properties of norms on a super-reflexive Banach space ⋮ Stability results of properties related to the Bishop-Phelps-Bollobás property for operators ⋮ Revisiting the minimum-norm problem ⋮ Bishop-Phelps-Bollobás property for bilinear forms on spaces of continuous functions ⋮ Differential inclusions in Banach spaces ⋮ Norm-attaining lattice homomorphisms ⋮ Characterization of Banach spaces \(Y\) satisfying that the pair \((\ell_\infty^4, Y)\) has the Bishop-Phelps-Bollobás property for operators ⋮ Yet on linear structures of norm-attaining functionals on Asplund spaces ⋮ The Bishop-Phelps-Bollobás property for operators from \(c_{0}\) into some Banach spaces ⋮ Numerical radius attaining compact linear operators ⋮ On quasi norm attaining operators between Banach spaces ⋮ Renorming Banach spaces with many projections and smoothness properties ⋮ Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices ⋮ Norm attaining bilinear forms on \(L^ 1[0,1\)] ⋮ Generalized Baire category and differential inclusions in Banach spaces ⋮ Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-property ⋮ There is no bilinear Bishop-Phelps theorem ⋮ Absolutely norm attaining Toeplitz and absolutely minimum attaining Hankel operators ⋮ On the Bishop-Phelps-Bollobás theorem for multilinear mappings ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces ⋮ Best approximation in the space of bounded operators and its applications ⋮ A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces ⋮ Local Bishop-Phelps-Bollobás properties ⋮ A Bishop-Phelps-Bollobás type theorem for uniform algebras ⋮ Two new interpolation methods based on the duality map ⋮ A basis of \(\mathbb{R}^n\) with good isometric properties and some applications to denseness of norm attaining operators ⋮ \(\Gamma\)-flatness and Bishop-Phelps-Bollobás type theorems for operators ⋮ The Bishop-Phelps-Bollobás property for operators from \(\mathcal C(K)\) to uniformly convex spaces ⋮ The Bishop-Phelps-Bollobás property and absolute sums ⋮ A Bishop-Phelps-Bollobás theorem for Asplund operators ⋮ Some remarks on minimum norm attaining operators ⋮ The Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)]
Cites Work
- Unnamed Item
- Some new results on smoothness and rotundity in normed linear spaces
- Strict Convexity and Smoothness of Normed Spaces
- Every L-Space is Isomorphic to a Strictly Convex Space
- A proof that every Banach space is subreflexive
- Über konvexe Mengen in linearen normierten Räumen
- Locally Uniformly Convex Banach Spaces
This page was built for publication: On operators which attain their norm
