Mathematical work of Franciszek Hugon Szafraniec and its impacts

DOI10.1007/s43036-020-00089-zzbMath1444.01024OpenAlexW3034280924MaRDI QIDQ782551

Jan Stochel, Konrad Schmüdgen, Mihai Putinar, Mohammad Sal Moslehian, Raúl E. Curto, Andrzej Horzela, Hendrik S. V. de Snoo, Jean-Pierre Gazeau

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-020-00089-z

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Related Items (2)

Kolmogorov decomposition of conditionally completely positive definite kernels ⋮ Left multipliers of reproducing kernel Hilbert \(C^\ast \)-modules and the Papadakis theorem

Cites Work

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• Foreword: Franciszek Hugon Szafraniec: a scholar of eminence
• Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations
• The Sobolev moment problem and Jordan dilations
• The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
• Operational calculus for rows, columns, and blocks of linear relations
• New orthogonality relations for the Hermite polynomials and related Hilbert spaces
• How to recognize the creation operator
• On bounded holomorphic interpolation in several variables
• On a singular part of an unbounded operator
• Unbounded operators: Perturbations and commutativity problems
• The \(K\)-moment problem for compact semi-algebraic sets
• Moment functions on real algebraic sets
• The complex moment problem and subnormality: A polar decomposition approach
• Solving moment problems by dimensional extension
• Holomorphic Hermite polynomials in two variables
• Conditionally positive definite kernels in Hilbert \(C^*\)-modules
• Three paths toward the quantum angle operator
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• Boundedness of the shift operator related to positive definite forms: An application to moment problems
• A canonical decomposition for linear operators and linear relations
• Quasi-analytic vectors
• On normal extensions of unbounded operators. III: Spectral properties
• Unbounded spectral operators
• A measure-free approach to coherent states
• Normal intermediate extensions of symmetric relations
• Normals, subnormals and an open question
• Murphy's ``Positive definite kernels and Hilbert C^*-modules reorganized
• Componentwise and Cartesian decompositions of linear relations
• Holomorphic Hermite polynomials and a non-commutative plane
• On a Hilbert space of analytic functions and an associated integral transform part I
• Adjoints and formal adjoints of matrices of unbounded operators
• Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions
• Dilations as Propagators of Hilbertian Varieties
• Positive definite kernels and Hilbert C*-modules
• Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion
• Shorter Notes: A Formally Normal Operator having no Normal Extension
• Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence
• Boundary Value Problems, Weyl Functions, and Differential Operators
• The complex moment problem: determinacy and extendibility
• Formally Normal Operators Having no Normal Extensions
• Squeezing of arbitrary order: the ups and downs
• Squeezed states and Hermite polynomials in a complex variable
• Operators of the $q$-oscillator
• Reproducing kernel Hilbert C∗-modules and kernels associated with cocycles
• Some spectral properties of operator-valued representations of function algebras
• Decompositions of non-contractive operator-valued representations of Banach algebras
• Extension theory of formally normal and symmetric subspaces
• Theory of Reproducing Kernels
• Preface
• Subnormality in the quantum harmonic oscillator

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