We establish a generalization of the Dunkl--Williams inequality and its inverse in the framework of

Hilbert C^* -modules and characterize the equality case. As applications, we get some new results and some known ...

We present an operator version of the Dunkl--Williams inequality

with respect to the $p$-angular distance for bounded linear

operators acting on a Hilbert space. We obtain several equivalent

conditions, ...

In this talk we present a new characterization of inner product

spaces related to the $p-$angular distance.

In this paper we present a new characterization of inner product spaces related to the pangular

distance. We also generalize some results due to Dunkl, Williams, Kirk, Smiley and

Al-Rashed by using the notion ...

We prove several operator versions of the Dunkl-Williams inequality

and discuss the case when equality holds in a new approach. We mainly present some

necessary and su±cient conditions for the case where ...

In this paper we survey the results on the Dunkl–Williams inequality

in normed linear spaces. These are related to the geometry of normed

linear spaces, the characterizations of inner product spaces, some ...

For a normed linear space (X, | cdot |) and p>0 we characterize all

n -tuples ( mu_1, cdots, mu_n) in mathbb{R}^{n} for which the

generalized triangle inequality of the second type

|x_1+ ...