Operator p-compact mappings

Quasiregular mappings and the p-Laplace operator

We describe the role of p-harmonic functions in the theory of quasiregular mappings.

Constructive Compact Linear Mappings

In this paper, we deal with compact linear mappings of a normed linear space, within the framework of Bishop's constructive mathematics. We prove the constructive substitutes for the classically well-known theorems on compact linear mappings: T is compact if and only if T* is compact; if S is bounded and if T is compact, then TS is compact; if S and T is compact, then S+ T is compact.

Fixed Point Theorems for Densifying Mappings and Compact Mappings

for all distinct x,y ∈ X, where n(x,y) ∈ N. Bailey [1] has investigated the existence of fixed points for the contractive mapping (1.1) in compact metric spaces. Liu [4] first introduced the definition of the family of mappings CISf , and showed fixed point theorems for CISf . In this note, we prove a few fixed point theorems for densifying and compact mappings which satisfy (1.1) in complete m...

P-Amenable Locally Compact Hypergroups

Holomorphic Mappings of Domains in Operator Spaces

Our object is to give an overview of some basic results about holomorphic mappings of circular domains in various spaces of operators. We begin by considering C*-algebras and pass to J*-algebras and other spaces when this seems natural. Our first result is a simple extension of the maximum principle where the unitary operators play the role of the unit circle. We illustrate the power of this re...