Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem
From MaRDI portal
Publication:2099088
DOI10.1016/j.aim.2022.108747OpenAlexW4306408640MaRDI QIDQ2099088
Chao Wang, Guangzhou Qin, Ravi P. Agarwal
Publication date: 23 November 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2022.108747
\(S\)-spectrumperturbation invarianceCauchy problems of quaternionic evolution equationsdirect sum decomposition of quaternionic Banach spacequaternionic exponentially dichotomous operatorsslice quaternionic Banach algebra
One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems
- Global structure of quaternion polynomial differential equations
- The quaternionic evolution operator
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Extension results for slice regular functions of a quaternionic variable
- Slice monogenic functions
- A Cauchy kernel for slice regular functions
- On the formulations of the quaternionic functional calculus
- Quaternionic-valued ordinary differential equations. The Riccati equation
- Robustness of discrete dynamics via Lyapunov sequences
- Existence of dichotomies and invariant splittings for linear differential systems. I
- Existence of dichotomies and invariant splittings for linear differential systems. III
- Existence of dichotomies and invariant splittings for linear differential systems. II
- Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
- Nonuniform spectrum on Banach spaces
- Spectral theory on the S-spectrum for quaternionic operators
- Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
- On decompositions of the Clifford valued Hilbert space and their applications to boundary value problems
- Unbounded perturbation of the exponential dichotomy for evolution equations
- On certain Kähler quotients of quaternionic Kähler manifolds
- Theory of translation closedness for time scales. With applications in translation functions and dynamic equations
- An introduction to hyperholomorphic spectral theories and fractional powers of vector operators
- A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations
- Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales
- Non-commutative functional calculus: unbounded operators
- On some properties of the quaternionic functional calculus
- Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
- A new functional calculus for noncommuting operators
- A new theory of regular functions of a quaternionic variable
- Exponentially dichotomous operators and applications
- A new approach to Cullen-regular functions of a quaternionic variable
- Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy
- A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics
- Admissibility and roughness of nonuniform exponential dichotomies for difference equations
- Hilbert transforms on the sphere with the Clifford algebra setting
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
- REDUCIBILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS
- Constructing prolate spheroidal quaternion wave functions on the sphere
- Duality theorems for slice hyperholomorphic functions
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- One-Parameter Semigroups for Linear Evolution Equations
- The Weyl calculus and Clifford analysis
- A new construction of homogeneous quaternionic manifolds and related geometric structures
- Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity
- Slice regular semigroups
- Real Quaternionic Calculus Handbook
- Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators
- Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales
- General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial
- Quaternion Zernike spherical polynomials
- Perturbation of normal quaternionic operators
- Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
- Dynamics of evolutionary equations
- Dichotomy spectrum for nonautonomous differential equations
This page was built for publication: Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem
