scholarly journals HEREDITARILY ANTISYMMETRIC OPERATOR ALGEBRAS

2019 ◽  
pp. 1-36
Author(s):  
Nik Weaver
Keyword(s):  
Operator Algebras ◽  
Structure Theorem ◽  
Dimensional Case ◽  
Infinite Dimensional ◽  
Finite Posets

We introduce a notion of ‘hereditarily antisymmetric’ operator algebras and prove a structure theorem for them in finite dimensions. We also characterize those operator algebras in finite dimensions which can be made upper triangular and prove matrix analogs of the theorems of Dilworth and Mirsky for finite posets. Some partial results are obtained in the infinite dimensional case.

Products of Decomposable Positive Operators

1994 ◽  
Vol 46 (4) ◽  
pp. 854-871 ◽  
Author(s):  
Terrance Quinn
Keyword(s):  
Operator Algebras ◽  
Positive Operators ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Direct Integral ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Decomposable Operators

AbstractIn recent years there has been a growing interest in problems of factorization for bounded linear operators. We first show that many of these problems properly belong to the category of C*-algebras. With this interpretation, it becomes evident that the problem is fundamental both to the structure of operator algebras and the elements therein. In this paper we consider the direct integral algebra with separable and infinite dimensional. We generalize a theorem of Wu (1988) and characterize those decomposable operators which are products of non-negative decomposable operators. We do this by first showing that various results on operator ranges may be generalized to “measurable fields of operator ranges”.

CHAOTIC BEHAVIOR OF ORBITS CLOSE TO A HETEROCLINIC CONTOUR

1996 ◽  
Vol 06 (01) ◽  
pp. 69-79 ◽  
Author(s):  
M. BLÁZQUEZ ◽  
E. TUMA
Keyword(s):  
Chaotic Behavior ◽  
Equilibrium Points ◽  
Three Dimensional ◽  
Dimensional Case ◽  
Chua’S Circuit ◽  
Closed Contour ◽  
Chua's Circuit ◽  
Infinite Dimensional ◽  
Focus Type

We study the behavior of the solutions in a neighborhood of a closed contour formed by two heteroclinic connections to two equilibrium points of saddle-focus type. We consider both the three-dimensional case, as in the well-known Chua's circuit, as well as the infinite-dimensional case.

scholarly journals Operator algebras and an infinite-dimensional symmetry for string theory

1994 ◽  
Vol 50 (6) ◽  
pp. 4022-4031 ◽  
Author(s):  
Mark Evans ◽  
Ioannis Giannakis ◽  
D. V. Nanopoulos
Keyword(s):  
String Theory ◽  
Operator Algebras ◽  
Infinite Dimensional
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