Add to ORKGThis paper presents three definitions of orthogonality in normed spaces. Each definition is shown equivalent to the inner product being zero when restricted to an inner product space. The definitions arise from such properties in two space as the diagonals of a rectangle being equal and the Pythagorean Theorem. The third definition shows that the idea of an inner product can be generalized under certain conditions
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
Pada tulisan ini, akan dipelajari ortogonalitas di ruang hasil kali dalam dan ortogonalitas-P di rua...
The notion of angles is known in a vector space equipped with an inner product, but not well establi...
AbstractA new orthogonality relation in normed linear spaces which generalizes pythagorean orthogona...
In this note we discuss the concept of b-orthogonality in 2-normedspaces. We observe in particular t...
Some generalized notions of James' orthogonality and orthogonality in the Pythagorean sense are defi...
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a...
summary:In this paper we introduce a new type of orthogonality for real normed planes which coincide...
The concept of orthogonality is widely employed in different fields of study, including algebra and ...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
summary:Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given....
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
AbstractLet X be a real finite-dimensional normed space with unit sphere SX and let L(X) be the spac...
Kikianty and Dragomir (Math Inequal Appl 13:1–32, 2010)\ud introduced the p−HH norms on the Cartesia...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
Pada tulisan ini, akan dipelajari ortogonalitas di ruang hasil kali dalam dan ortogonalitas-P di rua...
The notion of angles is known in a vector space equipped with an inner product, but not well establi...
AbstractA new orthogonality relation in normed linear spaces which generalizes pythagorean orthogona...
In this note we discuss the concept of b-orthogonality in 2-normedspaces. We observe in particular t...
Some generalized notions of James' orthogonality and orthogonality in the Pythagorean sense are defi...
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a...
summary:In this paper we introduce a new type of orthogonality for real normed planes which coincide...
The concept of orthogonality is widely employed in different fields of study, including algebra and ...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
summary:Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given....
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
AbstractLet X be a real finite-dimensional normed space with unit sphere SX and let L(X) be the spac...
Kikianty and Dragomir (Math Inequal Appl 13:1–32, 2010)\ud introduced the p−HH norms on the Cartesia...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
Pada tulisan ini, akan dipelajari ortogonalitas di ruang hasil kali dalam dan ortogonalitas-P di rua...
The notion of angles is known in a vector space equipped with an inner product, but not well establi...