Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces

DOI10.1007/s10231-021-01166-7OpenAlexW3202088033MaRDI QIDQ2143359

Sang Hoon Lee, Jasang Yoon, Raúl E. Curto

Publication date: 31 May 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06715

zbMATH Keywords

2-variable weighted shiftsBerger measuresubnormal paircanonical invariant subspacetwo-step extension

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Moment problems (44A60) Integration and disintegration of measures (28A50) Software, source code, etc. for problems pertaining to operator theory (47-04)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratically hyponormal weighted shifts
• An answer to a question of A.\,Lubin: the lifting problem for commuting subnormals
• Spherically quasinormal pairs of commuting operators
• One-step extensions of subnormal 2-variable weighted shifts
• Disintegration of measures and contractive 2-variable weighted shifts
• DISINTEGRATION-OF-MEASURE TECHNIQUES FOR COMMUTING MULTIVARIABLE WEIGHTED SHIFTS
• Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
• Reconstruction of the Berger measure when the core is of tensor form
• Subnormality and Weighted Shifts
• Subnormal weighted shifts and the Halmos-Bram criterion