This chapter gives a comparing exposition of the large family of orthogonality concepts in
normed linear spaces. With the help of fundamental properties that such concepts can have …

This paper introduces a definition of reliability based on Lindley information, which is the
mutual information between an observed measure and latent attribute. This definition …

The geometry of finite-dimensional normed spaces (= Minkowski geometry) is a research
topic which is related to many other fields, such as convex geometry, discrete and …

In this paper, starting with the geometric constants that can characterize Hilbert spaces,
combined with the isosceles orthogonality of Banach spaces, the orthogonal geometric …

We introduce the notion of g\! g gg-orthogonality in a normed space and discuss its basic
properties. We also show the connection between g\! g gg-orthogonality and g-orthogonality …

To deal with the estimation of the locally unique solutions of nonlinear systems in Banach
spaces, the local as well as semilocal convergence analysis is established for two higher …

We introduce a new 2-norm on a normed space using a semi-inner product g on the space.
Using this 2-norm, we propose a formula for the g-angle between 2-dimensional subspaces …

We develop the notion of g-angle between two subspaces of a normed space. In particular,
we discuss the g-angle between a 1-dimensional subspace and at-dimensional subspace …

In a Generalised Probabilistic Theory (GPT) equipped additionally with some extra
geometric structure we define the morphophoric measurements as those for which the …

Geodesic contraction in vector-valued differential equations is readily verified by linearized
operators which are uniformly negative-definite in the Riemannian metric. In the infinite …