10 papers
Norm of infinite doubly stochastic matrices
Ludovick Bouthat, Javad Mashreghi, Raphaël Vo
In finite dimensions, every doubly stochastic matrix has the -operator norm equal to for all . However, in the infinite-dimensional setting, this pr…
Oppenheim--Schur inequalities for causal products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We establish a class of Oppenheim--Schur-type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend to a causal convolutional sett…
The conjugate orbit of a unitary operator
Javad Mashreghi, Marek Ptak, William T. Ross
This paper discusses various aspects of the collection of unitary operators , where is a fixed unitary operator on a complex Hilbert space and varies ove…
Schauder Basis with Finite Blaschke Products
Emmanuel Fricain, Javad Mashreghi, Mostafa Nasri +1
We construct a Schauder basis for the space , the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expan…
Sharp lower bounds for generalized operator products
Dominique Guillot, Javad Mashreghi, Prateek Kumar Vishwakarma
We consider general bilinear products defined by positive semidefinite matrices. Typically non-commutative, non-associative, and non-unital, these products preserve positivity and…
Functional Calculi, Positivity, and Convolution of Matrices
Javad Mashreghi, Mostafa Nasri, Prateek Kumar Vishwakarma
Convolution admits a natural formulation as a functional operation on matrices. Motivated by the functional and entrywise calculi, this leads to a framework in which convolution de…