arXiv subjects

Emma Sulaver

Publications and source records attributed to Emma Sulaver.

3 recordsLinked to original sources

arXiv2026

Quantum Doubly Stochastic Operators on Non-commutative $L_p$-Spaces

We introduce and systematically develop the theory of \emph{quantum doubly stochastic operators}, i.e. positive, trace-preserving maps on non-commutative $L_p$-spaces associated to semifinite von Neumann algebras. After establishing basic norm and duality properties, we characterize strict norm inequalities, give necessary and sufficient criteria for compactness in the sense of Schatten-ideals, and exhibit a range of new examples in both finite and infinite dimensions. Applications to quantum majorization and stability under interpolation are also discussed.

math.OA↗

arXiv2025

Orlicz-Schatten Factorizations for Non-Commutative Sobolev Embeddings

We develop a framework for factorizing embeddings of non-commutative Sobolev spaces on quantum tori through newly defined Orlicz-Schatten sequence ideals. After introducing appropriate non-commutative Sobolev norms and Orlicz spectral conditions, we establish a summing operator characterization of the quantum Laplacian embedding. Our main results provide both existence and optimality of such factorization theorems, and highlight connections to operator ideal theory. Applications to regularity of non-commutative PDEs and quantum information metrics are discussed, demonstrating the broad impact of these structures in functional analysis and mathematical physics.

math.FA↗

arXiv2025

$\mu$-Hankel Operators on Non-Abelian Compact Lie Groups

We introduce and study a natural non-commutative generalization of $\mu$-Hankel operators originally defined on Hardy spaces over compact abelian groups. Within the framework of Peter-Weyl theory, we define matrix-valued Hankel operators associated to pairs of irreducible representations and weight functions, then establish sharp boundedness and compactness criteria in terms of symbol decay. We characterize membership in Schatten-von Neumann ideals and compute Fredholm indices in key cases. Finally, we initiate the inverse problem of symbol recovery by spectral data, proving uniqueness and stability under mild assumptions. Several illustrative examples on $\mathrm{SU}(2)$ and tori are worked out in detail.

math.FA↗