9. Commuting Matrices and Hyperinvariant Subspaces

2006 ◽  
pp. 295-315
Keyword(s):  
Commuting Matrices ◽  
Hyperinvariant Subspaces

scholarly journals Monomial codes seen as invariant subspaces

2017 ◽  
Vol 15 (1) ◽  
pp. 1099-1107 ◽  
Author(s):  
María Isabel García-Planas ◽  
Maria Dolors Magret ◽  
Laurence Emilie Um
Keyword(s):  
Finite Field ◽  
Linear Algebra ◽  
Linear Transformation ◽  
Cyclic Codes ◽  
Invariant Subspaces ◽  
Hyperinvariant Subspaces ◽  
Computationally Expensive ◽  
The Relationship

Abstract It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known. In this paper a generalization of this relationship is presented between monomial codes over a finite field 𝔽 and hyperinvariant subspaces of 𝔽n under an appropriate linear transformation. Using techniques of Linear Algebra it is possible to deduce certain properties for this particular type of codes, generalizing known results on cyclic codes.

scholarly journals Pictures of $KK$ -theory for real $C^{*}$ -algebras and almost commuting matrices

2016 ◽  
Vol 10 (1) ◽  
pp. 27-47 ◽  
Author(s):  
Jeffrey L. Boersema ◽  
Terry A. Loring ◽  
Efren Ruiz
Keyword(s):  
C Algebras ◽  
Commuting Matrices

scholarly journals Hyperinvariant subspaces and transitive algebras.

1972 ◽  
Vol 19 (1) ◽  
pp. 1-12 ◽  
Author(s):  
R. G. Douglas ◽  
Carl Pearcy
Keyword(s):  
Hyperinvariant Subspaces

scholarly journals Hyperinvariant subspaces for operators on the space of complex sequences.

1972 ◽  
Vol 19 (2) ◽  
pp. 189-191 ◽  
Author(s):  
B. E. Johnson ◽  
A. L. Shields
Keyword(s):  
Hyperinvariant Subspaces ◽  
Complex Sequences

Almost Eigenvectors for Almost Commuting Matrices

1971 ◽  
Vol 21 (2) ◽  
pp. 232-235 ◽  
Author(s):  
Allen R. Bernstein
Keyword(s):  
Commuting Matrices
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