Quaternionic Hilbert spaces and operator theory

Quaternionic Hilbert spaces and operator theory

This report serves to study Hilbert spaces and operator theory over skew fields. In particular, we will study these topics over the quaternions since it has been well-developed, and explore the properties of quaternionic linear operators, adjoint and normal operators. Operators over quaternionic Hil...

Saved in:

書目詳細資料
主要作者:	Lim, Zhi Xing
其他作者:	Wu Guohua
格式:	Final Year Project
語言:	English
出版:	Nanyang Technological University 2024
主題:	Mathematical Sciences Hilbert spaces Operator theory Quaternions
在線閱讀:	https://hdl.handle.net/10356/181339
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	Nanyang Technological University
語言:	English

相似書籍

A compactness criterion for Hilbert space operators
由: Estalilla, Aliento V.
出版: (1988)

Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces
由: Kobak, P.Z., et al.
出版: (2014)

Closed range and cyclicity of composition operators on Hilbert spaces of entire functions
由: Doan, Minh Luan, et al.
出版: (2020)

Complex symmetry of composition operators on Hilbert spaces of entire Dirichlet series
由: Doan, Minh Luan, et al.
出版: (2021)

Connections and means for positive operators on a Hilbert Space
由: Pattrawut Chansangiam
出版: (2013)

Connections and means for positive operators on a Hilbert Space
由: Pattrawut Chansangiam
出版: (2012)

Composition operators on Hilbert spaces of entire functions
由: Doan, Minh Luan, et al.
出版: (2015)

Uncertainty principles in Hilbert spaces
由: Goh, S.S., et al.
出版: (2014)

Experimental verification of some linear operator identities in the Hilbert space of energy signals
由: Plero, Rolando A.
出版: (1997)

Super-quantum nonlocal correlations in quaternionic quantum theory
由: McKague, M.
出版: (2016)

Rhaly operators on small weighted hardy spaces
由: Lin, Tan Pin, et al.
出版: (2020)

A Hilbert space theory of generalized graph signal processing
由: Ji, Feng, et al.
出版: (2021)

Quaternionic grassmannian approach to SU (4) x SU (4) grand unified theory
由: Palisoc, Caesar P.
出版: (1994)

Measurement-device-independent quantification of entanglement for given Hilbert space dimension
由: Goh, K.T, et al.
出版: (2020)

Well-posedness of two classes of singular distributed parameter systems in Hilbert space
由: Liu, F., et al.
出版: (2014)

Some network-theoretic applications of convolutional analysis and linear operators of the Hilbert space of energy signals
由: Estalilla, Aliento V.
出版: (1993)

Duality of the matrix transpose and matrix conjugate inverse maps
由: Granario, Daryl Q.
出版: (2022)

Dimensionality reduction by kernel CCA in reproducing kernel hilbert spaces
由: ZHU XIAOFENG
出版: (2010)

Derivations on the algebra of operators in hilbert C*-modules
由: Li, P.T., et al.
出版: (2014)

Spectral theory in inner product spaces and applications : 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006
由: I. Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, H. Bart, A. Ben-Artzi, H. Bercovici, A. Böttcher, K. Clancey, R. Curto, K. R. Davidson, M. Demuth, A. Dijksma, R. G. Douglas, R. Duduchava, A. Ferreira Santos, A. E. Frazho, P. A. Fuhrmann, B. Gramsch, H. G. Kaper, S. T. Kuroda, L. E. Lerer, B. Mityagin, V. Olshevski, M. Putinar, A. C. M. Ran, L. Rodman, J. Rovnyak, B.-W. Schulze, F. Speck, I. M. Spitkovsky, S. Treil, C. Tretter, H. Upmeier, N. Vasilevski, S. Verduyn Lunel, D. Voiculescu, D. Xia, D. Yafaev, Jussi Behrndt, Karl-Heinz Förster, Heinz Langer, Carsten Trunk
出版: (2017)

Invariant Subspace Method for Fractional Telegraph Equations
由: Somavatey Meas
出版: (2021)

Algebra of entire Dirichlet series with real frequencies
由: Jeck, Lim, et al.
出版: (2020)

A Hilbert-Curve Based Delay Fault Characerization Framework for Fpgas
由: ZHANG WENJUAN
出版: (2012)

Path components of the space of (weighted) composition operators on Bergman spaces
由: Abanin, Alexander V., et al.
出版: (2022)

Hilbert-kunz multiplicity, PhanTom projective dimension by specialization
由: Dam, Van Nhi
出版: (2017)

Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials
由: Morales, John Vincent S., et al.
出版: (2020)

Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials
由: Morales, John Vincent S., et al.
出版: (2018)

Anti-G-hermiticity preserving linear maps that preserve strongly the invertibility of Hilbert space operators
由: Buscano, Jay D.
出版: (2017)

Sensitivity analysis for strongly nonlinear quasi-variational inclusions
由: Agarwal, R.P., et al.
出版: (2014)

Composition operators between hardy spaces on linearly convex domains in C2
由: Ha, Ly Kim, et al.
出版: (2020)

Differences of weighted composition operators between the Fock spaces
由: Tien, Pham Trong, et al.
出版: (2019)

Analytic reproducing kernel Hilbert spaces and their operators
由: Mau, Camille
出版: (2020)

Finite temperature dynamics of a Holstein polaron : the thermo-field dynamics approach
由: Chen, Lipeng, et al.
出版: (2019)

Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ)
由: Khoi, Le Hai, et al.
出版: (2021)

Weighted composition operators between different fock spaces
由: Tien, Pham Trong, et al.
出版: (2019)

Bài toán biên Hilbert và các phương trình tích phân liên quan
由: Hoàng, Quế Hường
出版: (2017)

Adaptive magnitude spectrum algorithm for Hilbert-Huang transform based frequency identification
由: Ong, K.C.G., et al.
出版: (2014)

Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space
由: Tan, S.P., et al.
出版: (2014)

Electromagnetic simulation and analysis for novel filter design
由: WANG YING (HT026740U)
出版: (2010)

Modeling with Renormalization Group and Randomization
由: KUMAR YOGAPRAKASH
出版: (2014)