Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Orthogonality in linear metric spaces - MaRDI portal

Orthogonality in linear metric spaces

From MaRDI portal
Publication:2644999

DOI10.1215/S0012-7094-35-00115-6zbMath0012.30604OpenAlexW2077804224MaRDI QIDQ2644999

Garrett. Birkhoff

Publication date: 1935

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-35-00115-6




Related Items (only showing first 100 items - show all)

Level numbers of a bounded linear operator between normed linear spaces and singular value decomposition revisitedOrthogonality of sesquilinear forms and spaces of operatorsBirkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality GraphsOn the radial projection in normed spacesCharacterisation of orthogonality in certain Banach spacesCharacterization of k-smoothness of operators defined between infinite-dimensional spacesA study of symmetric points in Banach spacesOrthogonally Additive: Additive Functional EquationA FURTHER PROPERTY OF SPHERICAL ISOMETRIESNorms in product spaces which preserve approximation propertiesMore Characterizations of Inner Product SpacesAn extension of Birkhoff-James orthogonality relations in semi-Hilbertian space operatorsBirkhoff-James orthogonality and its local symmetry in some sequence spacesOn symmetric points with respect to the numerical radius normApproximate Birkhoff orthogonalities in normed spacesCross-section measures, radii, and Radon curvesStudy on Birkhoff orthogonality and symmetry of matrix operatorsExtreme contractions on finite-dimensional Banach spacesOn $T$-orthogonality in Banach spacesBirkhoff-James orthogonality in certain tensor products of Banach spacesBirkhoff-James orthogonality and the simultaneous zero inclusion propertyApproximate orthogonality in complex normed spaces: a directional approachFrom norm derivatives to orthogonalities in Hilbert C*-modulesA lower bound for the constant \(A_1(X)\) in normed linear spacesOn non-linear mappings preserving the semi-inner productOn the best coapproximation problem in ℓ1n,Di-orthographs of Banach spaces that are not invariant of nonlinear Birkhoff-James orthogonality preserversA generalization of the Roberts orthogonality: from normed linear spaces to \(C^*\)-algebrasConvex functions and approximate Birkhoff-James orthogonalityAn orthogonality relation in complex normed spaces based on norm derivativesA numerical range approach to Birkhoff-James orthogonality with applicationsBirkhoff–James Orthogonality Reversing Property and Its StabilitySymmetry of Birkhoff-James Orthogonality of Bounded Linear OperatorsOn Geometry of Banach Function Modules: Selected TopicsOn Exact and Approximate Orthogonalities Based on Norm DerivativesBIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALSUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemRotundity, orthogonality, and characterizations of inner product spacesOn the Characterization of Hilbertian Norms by Properties of Heights of a TriangleOn isometric embedding ℓpm→S∞ and unique operator space structureOrthogonality in normed linear spacesUnnamed ItemOrthogonality of matricesAngular right symmetricity of bounded linear operators on Hilbert spacesOperator equalities and Characterizations of Orthogonality in Pre-Hilbert C*-ModulesOn Birkhoff angles in normed spacesUnnamed ItemConstante rectangle et biais d'un espace de BanachAn extension of the notion of orthogonality to Banach spacesUnnamed ItemA new type of orthogonality for normed planesUnnamed ItemAnother characterization of orthogonality in Hilbert C^*-modulesInner products in normed linear spacesOn three concepts of orthogonality in HilbertC*-modulesUnnamed ItemSymmetric properties of orthogonality of linear operators on (R^n, ||.||_1)Convex Sets and Nearest PointsOn Nonexpansive MappingsMiddle points, medians and inner productsCharacterization of symmetric points in lpn-spacesSmoothness and norm attainment of bounded bilinear operators between Banach spacesUnnamed ItemORTHOGONALLY ADDITIVE AND ORTHOGONALLY QUADRATIC FUNCTIONAL EQUATIONADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACESFUNCTIONAL EQUATIONS IN ORTHOGONALITY SPACESGeneralized median solutions, strategy-proofness and strictly convex normsOrthogonality and Linear Functionals in Normed Linear SpacesGeneralized numerical radius and related inequalitiesSome Characterizations of Inner-Product SpacesOn the continuity of Birkhoff–James -orthogonality setsInner Product Spaces and the Tri-Spherical Intersection PropertyOn mappings which approximately preserve anglesBirkhoff-James orthogonality and numerical radius inequalities of operator matricesOn Birkhoff-James and Roberts orthogonalityCharacterization of Day-James spaces and generalized Day-James spacesMetrizations of orthogonality and characterizations of inner product spacesQuantitative characterization of the difference between Birkhoff orthogonality and isosceles orthogonalityA new construction of Radon curves and related topicsOrthogonality in \(C^{*}\)-algebrasOrthogonality of bounded linear operators on complex Banach spacesBirkhoff-James orthogonality of linear operators on finite dimensional Banach spacesSome properties and applications of the Hausdorff distanceHomogeneity of isosceles orthogonality and related inequalitiesOrthogonal stability of an additive-quadratic functional equationOrthogonally additive-additive and orthogonally quadratic-quadratic functional equation in orthogonality spacesStability of a generalized quadratic functional equation in various spaces: a fixed point alternative approachQuantity of operators with Bhatia-Šemrl propertyApproximate Birkhoff-James orthogonality in the space of bounded linear operatorsShadow-boundaries of convex bodiesOrthonormal bases and a structure of finite dimensional normed linear spacesEvery \(n\)-dimensional normed space is the space \(\mathbb R^n\) endowed with a normal normBest coapproximation in normed linear spacesNonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. IIAngle preserving mappingsOn the frame of the unit ball of Banach spacesRoberts orthogonality and Davis-Wielandt shell




This page was built for publication: Orthogonality in linear metric spaces