Journal article
Propagation Phenomena for Operator-Valued Weighted Shifts
Resultate der Mathematik, Vol.81(1), 16
02/01/2026
DOI: 10.1007/s00025-025-02572-6
Appears in UI Libraries Support Open Access
Abstract
This paper is devoted to the study of propagation phenomena for 2–hyponormal, quadratically hyponormal, and cubically hyponormal operator-valued weighted shifts. First, we show that every quadratically hyponormal matrix-valued weighted shift with two equal weights (excluding the initial weight) is flat. Second, we show that a cubically hyponormal operator-valued weighted shift with two equal weights (possibly including the initial weight) is flat. Next, we introduce a local flatness notion for matrix-valued weighted shifts. We prove that 2–hyponormal (in particular, subnormal) matrix-valued weighted shifts satisfy this stronger propagation phenomenon. As a result, we prove a structural decomposition theorem for 2–hyponormal matrix-valued weighted shifts.
for 2–hyponormal matrix-valued weighted shifts.
Details
- Title: Subtitle
- Propagation Phenomena for Operator-Valued Weighted Shifts
- Creators
- Raúl Curto - University of IowaAbderrazzak Ech-charyfy - Mohammed V UniversityHamza El Azhar - Chouaib Doukkali UniversityEl Hassan Zerouali - Mohammed V University
- Resource Type
- Journal article
- Publication Details
- Resultate der Mathematik, Vol.81(1), 16
- DOI
- 10.1007/s00025-025-02572-6
- ISSN
- 1422-6383
- eISSN
- 1420-9012
- Publisher
- Springer Nature
- Grant note
- DMS-2247167 / National Science Foundation (http://dx.doi.org/10.13039/100000001) 1026 / Arab Fund Foundation Fellowship Program, The Distinguished Scholar Award
- Language
- English
- Date published
- 02/01/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985091798802771
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