In the case of linear operator property P(B, k) was introduced by M.A. Kaashoek. this paper, we characterize essentially semi regular relation in terms k). After that and as an application result give some connection between relations. Further, will supplementary conditions on to be Fredholm. Then, analyze stability class relations under small perturbations Riesz operators. Finally, study prope...

After their introduction in 2006, quaternionic slice regular functions have mostly been studied over domains that are symmetric with respect to the real axis. This choice was motivated by some foundational results published 2009, such as Representation Formula for axially domains. The present work studies not symmetric, partly correcting hypotheses of previously results. In particular, this inc...