Associated to Birkhoff orthogonality, we study Birkhoff angles in a normed space and present some of their basic properties. We also discuss how to decide whether an angle is more acute or more obtuse than another. In addition, given two vectors $x$ and $y$ in a normed space, we study the formula for Birkhoff `cosine' of the angle from $x$ to $y$ from which we can, in principal, compute the angle. Some examples will be presented
In the present work we study properties of orthogonality in Hilbert spaces and possibilities of exte...
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....
The notion of angles is known in a vector space equipped with an inner product, but not well establi...
We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
Abstract. Consider a complex normed linear space (X, ‖ · ‖), and let χ, ψ ∈ X with ψ 6 = 0. Motiva...
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete...
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
Let x and y be two unit vectors in a normed plane R 2. We say that x is Birkhoff orthogonal to y if ...
AbstractIn this paper we introduce a new geometry constant D(X) to give a quantitative characterizat...
Tyt. z nagłówka.Bibliogr. s. 125.Let [formula] be a nornied space. We deal here with a function s : ...
Abstract. In this paper we define and study higher best approximation and higher Birkhofforthogonali...
There are two notions of approximate Birkhoff-James orthogonality in a normed space. We characterize...
We study approximate Birkhoff-James orthogonality of bounded linear operators defined between normed...
In the present work we study properties of orthogonality in Hilbert spaces and possibilities of exte...
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....
The notion of angles is known in a vector space equipped with an inner product, but not well establi...
We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric...
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful....
Abstract. Consider a complex normed linear space (X, ‖ · ‖), and let χ, ψ ∈ X with ψ 6 = 0. Motiva...
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete...
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. ...
Let x and y be two unit vectors in a normed plane R 2. We say that x is Birkhoff orthogonal to y if ...
AbstractIn this paper we introduce a new geometry constant D(X) to give a quantitative characterizat...
Tyt. z nagłówka.Bibliogr. s. 125.Let [formula] be a nornied space. We deal here with a function s : ...
Abstract. In this paper we define and study higher best approximation and higher Birkhofforthogonali...
There are two notions of approximate Birkhoff-James orthogonality in a normed space. We characterize...
We study approximate Birkhoff-James orthogonality of bounded linear operators defined between normed...
In the present work we study properties of orthogonality in Hilbert spaces and possibilities of exte...
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....