AbstractA new orthogonality relation in normed linear spaces which generalizes pythagorean orthogonality and isosceles orthogonality is defined, and it is shown that the new orthogonality is homogeneous (additive) if and only if the space is a real inner-product space
Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the not...
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
Some generalized notions of James' orthogonality and orthogonality in the Pythagorean sense are defi...
This paper presents three definitions of orthogonality in normed spaces. Each definition is shown eq...
summary:In this paper we introduce a new type of orthogonality for real normed planes which coincide...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
The concept of orthogonality is widely employed in different fields of study, including algebra and ...
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...
This paper generalizes the special case of the Carlsson orthogonality in terms of the 2-HH norm in r...
Kikianty and Dragomir in 2008 introduced the p-HH-norms on\ud the Cartesian product of two copies of...
AbstractWe consider the class of linear mappings, between real or complex inner product spaces, such...
Abstract We study the homogeneity of isosceles orthogonality, which is one of the most important ort...
We introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show tha...
Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the not...
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
Some generalized notions of James' orthogonality and orthogonality in the Pythagorean sense are defi...
This paper presents three definitions of orthogonality in normed spaces. Each definition is shown eq...
summary:In this paper we introduce a new type of orthogonality for real normed planes which coincide...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
The concept of orthogonality is widely employed in different fields of study, including algebra and ...
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...
This paper generalizes the special case of the Carlsson orthogonality in terms of the 2-HH norm in r...
Kikianty and Dragomir in 2008 introduced the p-HH-norms on\ud the Cartesian product of two copies of...
AbstractWe consider the class of linear mappings, between real or complex inner product spaces, such...
Abstract We study the homogeneity of isosceles orthogonality, which is one of the most important ort...
We introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show tha...
Inspired by the definition of homogeneous direction of isosceles orthogonality, we introduce the not...
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
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