Linearization, Factorization, and the Spectral Compression of a Self-adjoint Analytic Operator Function Under the Condition (VM)

2012 ◽  
pp. 445-463 ◽  
Author(s):  
H. Langer ◽  
A. Markus ◽  
V. Matsaev
Keyword(s):  
Operator Function ◽  
Analytic Operator ◽  
Spectral Compression ◽  
Analytic Operator Function

Multitarget nonlinear filtering based on spectral compression and probability hypothesis density

2001 ◽  
Author(s):  
Adel I. El-Fallah ◽  
Tim Zajic ◽  
Ronald P. S. Mahler ◽  
Barbara A. Lajza-Rooks ◽  
Raman K. Mehra
Keyword(s):  
Nonlinear Filtering ◽  
Probability Hypothesis Density ◽  
Spectral Compression

scholarly journals Coordinates for analytic operator algebras

1989 ◽  
Vol 31 (1) ◽  
pp. 31-47
Author(s):  
Baruch Solel
Keyword(s):  
Abelian Group ◽  
Von Neumann Algebra ◽  
Operator Algebras ◽  
Dual Group ◽  
Positive Semigroup ◽  
Analytic Operator ◽  
Von Neumann ◽  
Finite Von Neumann Algebra ◽  
Analytic Algebra ◽  
Image Position

Let M be a σ-finite von Neumann algebra and α = {αt}t∈A be a representation of a compact abelian group A as *-automorphisms of M. Let Γ be the dual group of A and suppose that Γ is totally ordered with a positive semigroup Σ⊆Γ. The analytic algebra associated with α and Σ iswhere spα(a) is Arveson's spectrum. These algebras were studied (also for A not necessarily compact) by several authors starting with Loebl and Muhly [10].

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