This book presents 20 research and survey articles from several invited speakers and other participants at IWOTA 2023 held in Helsinki in August 2023. The topics range from concrete operators and matrices, such as Toeplitz, Hilbert matrix, integral, and Schrödinger operators, to more abstract operatory theory involving the invariant subspace problem, random vector norms, isometries, and quantum metric spaces, with further contributions related to inequalities for vector-valued functions, boundary value problems, fractional calculus, and the Kortewegde Vries equation.

Recent advances in operator theory and its applications Connections with harmonic analysis, mathematical physics, and inverse problems Contains articles of plenary speakers of IWOTA 2023

Inhalt

• Domains of quantum metrics on AF algebras.- Commuting and Doubly Commuting Pairs of Isometries.- A Survey of Asymptotics of Determinants for Structured Matrices.- Algebras of Integral Operators with Piecewise Slowly Oscillating Data: Compactness of Commutators, Necessary Fredholm Conditions.- On the Hilbert Matrix Operator: A Brief Survey.- Hunter's Positivity Theorem and Random Vector Norms.- Reflexive Subspace Lattices in Banach Spaces.- Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order 𝜶 (1, 2) With Caputo Derivatives.- An Operator Related to Invariant Subspaces.- A Historical Survey of Fractional Calculus with Respect to Functions (𝝍-Fractional Calculus).- A Wiener Algebra for Fock Space Operators.- Ando's Lebesgue-Type Decompositions for Pairs of Positive Operators.- On the Infimum of the Essential Spectrum of Schrödinger Operators.- Reduced Inequalities for Vector-Valued Functions.- On the Operator and Essential Norms of Fourier Convolution Operators and Wiener-Hopf Operators with the Same Symbol.- Intrinsic Characterization of N p-spaces via the Hadamard Gap Class.- The Hilbert Matrix Done Right.- On Solitary Waves for the Kortewegde Vries Equation on Metric Star Graphs.- Operator Algebras and Unitary Representations of Polish Groups.- M-Accretivity via Boundary Systems.