Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
UDC 517.5 We derive some results concerning the quaternionic Davis–Wielandt shell for a bounded right linear operator in a right quaternionic Hilbert space.  The relations between  the geometric properties of the quaternionic Davis–Wielandt shells and the algeb...
Saved in:
| Date: | 2023 |
|---|---|
| Main Authors: | Jeribi, Aref, Mahfoudhi, Kamel |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7146 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023)
by: Jeribi, Aref, et al.
Published: (2026)
by: Jeribi, Aref, et al.
Published: (2026)
Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: A. Jeribi, et al.
Published: (2023)
by: A. Jeribi, et al.
Published: (2023)
Frames in Quaternionic Hilbert Spaces
by: K. S. Sharma, et al.
Published: (2019)
by: K. S. Sharma, et al.
Published: (2019)
Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties
by: Fakhfakh, Majed, et al.
Published: (2023)
by: Fakhfakh, Majed, et al.
Published: (2023)
Bounds for the right spectral radius of quaternionic matrices
by: I. Ali
Published: (2020)
by: I. Ali
Published: (2020)
Bounds for the right spectral radius of quaternionic matrices
by: Ali, I., et al.
Published: (2020)
by: Ali, I., et al.
Published: (2020)
An Analog of the Poincaré Model for a Quaternion Hyperbolic Space
by: Volchkov, V. V., et al.
Published: (2001)
by: Volchkov, V. V., et al.
Published: (2001)
On monogenic mappings of a quaternionic variable
by: V. S. Shpakovskij, et al.
Published: (2016)
by: V. S. Shpakovskij, et al.
Published: (2016)
On one class of quaternionic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)
by: T. S. Kuzmenko, et al.
Published: (2016)
Generalized Euler equations in quaternions
by: Koshlyakov, V. N., et al.
Published: (1994)
by: Koshlyakov, V. N., et al.
Published: (1994)
On one class of quaternionic mappings
by: Kuz’menko, T. S., et al.
Published: (2016)
by: Kuz’menko, T. S., et al.
Published: (2016)
Note on quaternion linear dynamical systems
by: N. Dilna, et al.
Published: (2023)
by: N. Dilna, et al.
Published: (2023)
Quaternion Analysis of the Modes of Electrical Systems
by: S. I. Klipkov
Published: (2019)
by: S. I. Klipkov
Published: (2019)
Quaternionic fractional Fourier transform for Boehmians
by: R. Roopkumar
Published: (2020)
by: R. Roopkumar
Published: (2020)
Quaternionic fractional Fourier transform for Boehmians
by: Roopkumar, R., et al.
Published: (2020)
by: Roopkumar, R., et al.
Published: (2020)
Synthesis of matrix representations of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2014)
by: Kalinovsky, Ya. O., et al.
Published: (2014)
Studying the Properties of a Single Hypercomplex Generalization of Quaternions
by: Turenko, A. S.
Published: (2014)
by: Turenko, A. S.
Published: (2014)
Fundamental solutions of the Stokes system in quaternion analysis
by: D. C. Dinh
Published: (2022)
by: D. C. Dinh
Published: (2022)
The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
by: Johnson-Freyd, T.
Published: (2016)
by: Johnson-Freyd, T.
Published: (2016)
Quaternion Determination of Attitude based on Measurement of Vectors
by: L. M. Ryzhkov
Published: (2021)
by: L. M. Ryzhkov
Published: (2021)
The Taylor and Laurent series in the algebra of complex quaternions
by: T. S. Kuzmenko
Published: (2015)
by: T. S. Kuzmenko
Published: (2015)
Fundamental solutions of the Stokes system in quaternion analysis
by: Dinh, Doan Cong, et al.
Published: (2026)
by: Dinh, Doan Cong, et al.
Published: (2026)
An estimate for the modulus of continuity of a quaternion singular Cauchy integral
by: Gerus, O. F., et al.
Published: (2010)
by: Gerus, O. F., et al.
Published: (2010)
Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: D. C. Dinh
Published: (2024)
by: D. C. Dinh
Published: (2024)
Generalized integral theorems for the quaternionic G-monogenic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)
by: T. S. Kuzmenko, et al.
Published: (2016)
Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: Dinh, Doan Cong, et al.
Published: (2024)
by: Dinh, Doan Cong, et al.
Published: (2024)
Slice entire functions of quaternionic variable of bounded index
by: Baksa , V., et al.
Published: (2026)
by: Baksa , V., et al.
Published: (2026)
Mathematical modeling of the trigonometric functions in a numerical system of generalized quaternions
by: Ja. A. Kalinovskij, et al.
Published: (2016)
by: Ja. A. Kalinovskij, et al.
Published: (2016)
Determinantal representations of a solution to the quaternion generalized Sylvester matrix equation
by: I. I. Kyrchei
Published: (2017)
by: I. I. Kyrchei
Published: (2017)
Building a digital signature algorithm with use of functions of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2015)
by: Kalinovsky, Ya. O., et al.
Published: (2015)
The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
by: Coquereaux, R., et al.
Published: (2019)
by: Coquereaux, R., et al.
Published: (2019)
Anti-tori in quaternionic lattices over \(\mathbb{F}_q(t)\)
by: Bondarenko, Ievgen, et al.
Published: (2024)
by: Bondarenko, Ievgen, et al.
Published: (2024)
The S-spectrum of combinations of idempotents on two-sided quaternionic Banach algebra
by: Moulaharabbi, Somayya, et al.
Published: (2026)
by: Moulaharabbi, Somayya, et al.
Published: (2026)
A research of properties of the generalized quaternions and their relationships with grassmann-clifford procedure of doubling
by: Ja. A. Kalinovskij, et al.
Published: (2015)
by: Ja. A. Kalinovskij, et al.
Published: (2015)
Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator
by: Cervantes, José O. González, et al.
Published: (2025)
by: Cervantes, José O. González, et al.
Published: (2025)
Estimate of the modulus of continuity of boundary values of quaternion Cauchy-type integral
by: O. F. Herus
Published: (2015)
by: O. F. Herus
Published: (2015)
Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2016)
by: Kalinovsky, Ya. O., et al.
Published: (2016)
Study of relations between the generalized quaternions and procedure of doubling of hypercomplex numerical systems
by: Kalinovsky, Ya. O., et al.
Published: (2015)
by: Kalinovsky, Ya. O., et al.
Published: (2015)
Quaternion-valued dynamic equations and Henstock – Kurzweil delta-integrals on time scales: a survey
by: G. Qin, et al.
Published: (2023)
by: G. Qin, et al.
Published: (2023)
Physical and geometrical characteristics of hyperspace. III. Cellar and substantive operators. Defect of the quaternion derivative
by: S. V. Terekhov
Published: (2016)
by: S. V. Terekhov
Published: (2016)
Similar Items
-
Correction to "Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space'', Ukrainian Mathematical Journal, vol. 75, No. 6, November, 2023 (Ukrainian original vol. 75, No. 6, June, 2023)
by: Jeribi, Aref, et al.
Published: (2026) -
Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: A. Jeribi, et al.
Published: (2023) -
Frames in Quaternionic Hilbert Spaces
by: K. S. Sharma, et al.
Published: (2019) -
Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties
by: Fakhfakh, Majed, et al.
Published: (2023) -
Bounds for the right spectral radius of quaternionic matrices
by: I. Ali
Published: (2020)