Dissertation > Excellent graduate degree dissertation topics show

On the Range of the Aluthge Transform

Author: LiZe
Tutor: JiGuoXing
School: Shaanxi Normal University
Course: Basic mathematics
Keywords: Aluthge transform Polar decomposition Algebraic operator Idempotent operator Translational nature Range
CLC: O177
Type: Master's thesis
Year: 2006
Downloads: 15
Quote: 0
Read: Download Dissertation


Operator theory in the 20th century , due to its wide application in mathematics and other sciences , in the first three decades of the 20th century has been a great development . With the continuous development of this theory , this theory has now become a popular branch of modern mathematics . And quantum mechanics , linear systems and control theory , as well as some other important mathematical branch are closely linked and mutual penetration . This paper mainly of algebra in the range of Aluthge transform operator idempotent operator , and Aluthge transform translational properties . Also consider the Aluthge transform the range closed and thick . The details are as follows : The first chapter introduces some symbols to be used in this article , definitions, and after two chapters to use theorems . Section II , we introduce the spectrum , point spectrum , the approximate point spectrum idempotent operator , Aluthge transform * - Aluthge transform concepts such . Section III are given for some of the well - known theorem also given ( ? ) And ( ? ) ( * ) < / Sup> of several relations between the spectrum . Chapter II First transform the range of B (H) on Aluthge the algebraic operators son idempotent operator and Aluthge transform the translational nature . Prove the the operator T Aluthge transform ( ? ) Is a necessary and sufficient condition for algebraic operator T is algebraic operators , given ( ? ) Is a necessary and sufficient condition for idempotent operator . When H is a finite -dimensional Hilbert space , a to operator T Aluthge transform translational nature of ( ? ) = ( ? ) Λ, ( ? ) Λ ∈ C , then T is a normal operator . The third chapter we consider the Aluthge transform the range closed and thick . R (Δ) in the B (H) is neither closed nor fused However , if H is infinite dimensional , R (Δ) in the B (H) is strong thick .

Related Dissertations

  1. Research on Signal Receiving System of Phase Laser Range Finder,TN249
  2. Research on Navigation System Related Technology for Moving Objects under Dynamic Environment,TP301.6
  3. Research on the Coordination Degree Evaluation of Fuzhou Sanfangqixiang Tourist Attraction and Its Setting,X820.3
  4. The Design of a BiCMOS Wide Gain Range Variable Gain Amplifier,TN722
  5. CRM Implementation in Pharmaceutical Industry,F426.72
  6. Stratification and energy optimization based on the brightness of high dynamic range image tone mapping technology research,TP391.41
  7. Scope management and risk management in the construction project of the Friends of the ERP system,F270.7
  8. The System Position of the Objective Imputation Theory,D914
  9. With automatic calibration feature broadband VCO frequency oscillator (VCO) chip design,TN752
  10. Research on the Moderate Level of Urban Social Endowment Insurancei n Liaoning Province,F842.6
  11. Study on the Fault Diagnosis of Asynchronous Induction Motor Base on the Wavelet Analysis,TH165.3
  12. On Some Classes of Operators Associated with Furuta Inequality and Aluthge Transformation,O177.1
  13. Research of Quality about Thin-Walled Plastic Parts in Injection Molding,TQ320.66
  14. The Research on Distant-site Toxicity of Bone Marrow and Other Organ of Mice Exposed to Formaldehyde,R114
  15. Designs for Settlement of Administrative Reconsideration of China,D925.3
  16. Study on Soil Slope Reliability Based on Random Field Theory,TU43
  17. Short-cut Denitrifying Phosphorus Removal in Two-Sludge Baffled Reactor,X703
  18. Pilot Scale Test of Lurgi Coal Gasification Wastewater Treatment by Biological Process,X703
  19. The Legislative Review of Criminal Preparation,D924
  20. The Research of the Adverbs of Scope in TangYuLin,H146
  21. Study on Mutagentic Effects of Space Environment and Biological Changes of Potential Mutants on the SP1 Generation of Dianthus Barbatus L.,S681.5

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
© 2012 www.DissertationTopic.Net  Mobile