Fuzzy rank-preserving operators

A characterization of orthogonality preserving operators

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...

Discontinuity of the trapezoidal fuzzy number-valued operators preserving core

Rank-preserving Module Maps

In this paper, we characterize rank one preserving module maps on a Hilbert C∗−module and study its applications on free probability theory.

Rank Preserving Preferences

Hierarchies are stable institutions both within organizations and in society at large. While we know people work to maintain their own status in a hierarchy, and institutions exist to preserve the rank of those at the top, little has been done to measure the preference individuals have for preserving the hierarchical rank ordering of others. Using an original game we call the redistribution gam...

Unitary Operators Preserving Wavelets

We characterize a special class of unitary operators that preserve orthonormal wavelets. In the process we also prove that symmetric wavelet sets cover the real line.