William T. Ross

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6 papers · 1 filter

math.FA2026

Unitarily invariant norms

Stephan Ramon Garcia, Javad Mashreghi, Marek Ptak +1

This survey paper provides a comprehensive study of unitarily invariant norms on the algebra of $n \times n$ matrices. This investigation leads naturally to the theory of symmetric…

math.FA2026

Crescents and the real variable Cesaro operator

Anil Belli, Ugur Gul, William T. Ross +1

This paper explores a version of the classical Cesàro integral operator for the Lebesgue space $L^{p} (0, 1)$ where we discuss its norm, spectral properties, cyclicity, and invariant…

math.FA2026

The Cesaro operator on L^2(0, 1)

Anil Belli, Ugur Gul, William T. Ross +1

This paper explores a version of the classical Ces`aro integral operator for the Lebesgue space L2(0, 1) where we discuss its norm, adjoint, spectral properties, and invariant subs…

math.FA2026

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 $C U C$ , where $U$ is a fixed unitary operator on a complex Hilbert space $H$ and $C$ varies ove…

math.FA2024

Conjugations of Unitary Operators, II

Javad Mashreghi, Marek Ptak, William T. Ross

For a given unitary operator $U$ on a separable complex Hilbert space $\h$, we describe the set $C_{c} (U)$ of all conjugations $C$ (antilinear, isometric, and involutive…

math.FA2024

Conjugations of Unitary operators, I

Javad Mashreghi, Marek Ptak, William T. Ross

If $U$ is a unitary operator on a separable complex Hilbert space $H$ , an application of the spectral theorem says there is a conjugation $C$ on $H$ (an antilin…