arXiv subjects

Athira Satheesh K.

Publications and source records attributed to Athira Satheesh K..

2 recordsLinked to original sources

arXiv2022

Reverse Order Law for Closed Range Operators in Hilbert Spaces

We present more than 50 results including some range inclusion results to characterize reverse order law for Moore-Penrose inverse of closed range Hilbert space operators. We use basic properties of Moore-Penrose inverse to prove the results. Some examples are also provided to illustrate failure cases to hold the reverse order law in infinite dimensional settings.

math.FA↗

arXiv2020

Estimates of Norms on Krein Spaces

Various norms can be defined on a Krein space by choosing different underlying fundamental decompositions. Some estimates of norms on Krein spaces are discussed and few results in Bognar's paper are generalized.

math.FA↗