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Dive into the research topics where Paweł Wójcik is active.

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Featured researches published by Paweł Wójcik.


Annales Mathematicae Silesianae | 2016

Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Tomasz Stypuła; Paweł Wójcik

Abstract In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we provide some new characterizations of rotundity and smoothness of dual spaces.


Annales Mathematicae Silesianae | 2017

A Simple Proof of the Polar Decomposition Theorem

Paweł Wójcik

Abstract In this expository paper, we present a new and easier proof of the Polar Decomposition Theorem. Unlike in classical proofs, we do not use the square root of a positive matrix. The presented proof is accessible to a broad audience.


Aequationes Mathematicae | 2010

On a ρ-orthogonality

Jacek Chmieliński; Paweł Wójcik


Nonlinear Analysis-theory Methods & Applications | 2010

Isosceles-orthogonality preserving property and its stability

Jacek Chmieliński; Paweł Wójcik


Journal of Mathematical Analysis and Applications | 2012

Linear mappings preserving ρ-orthogonality

Paweł Wójcik


Banach Center Publications | 2013

ρ-Orthogonality and its preservation - revisited

Jacek Chmieliński; Paweł Wójcik


Journal of Mathematical Analysis and Applications | 2015

On certain basis connected with operator and its applications

Paweł Wójcik


Indagationes Mathematicae | 2017

Norm-parallelism in classical M-ideals

Paweł Wójcik


Expositiones Mathematicae | 2017

Orthogonality of compact operators

Paweł Wójcik


Banach Journal of Mathematical Analysis | 2016

On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions

Jacek Chmieliński; Radosław Łukasik; Paweł Wójcik

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Radosław Łukasik

University of Silesia in Katowice

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