scholarly journals Right linear map preserving the left spectrum of 2x2 quaternion matrices

2018 ◽  
Vol 65 (4) ◽  
pp. 378
Author(s):  
D Duan ◽  
X Gong ◽  
G Yuan ◽  
F Zhai
Keyword(s):  
Linear Map ◽  
Quaternion Matrices ◽  
Left Spectrum

Linear Map Preserving the Right Spectrum of Quaternion Matrices

2018 ◽  
Vol 28 (5) ◽  
Author(s):  
Deyu Duan ◽  
Xiang Gong ◽  
Geng Yuan ◽  
Fahui Zhai
Keyword(s):  
Linear Map ◽  
Quaternion Matrices ◽  
The Right

scholarly journals How Many Inflections are There in the Lyapunov Spectrum?

2021 ◽  
Author(s):  
O. Jenkinson ◽  
M. Pollicott ◽  
P. Vytnova
Keyword(s):  
Piecewise Linear ◽  
Lyapunov Spectrum ◽  
Stat Phys ◽  
Linear Map ◽  
Piecewise Linear Map ◽  
Expanding Map ◽  
Lyapunov Spectra ◽  
Linear Maps ◽  
Inflection Points ◽  
Piecewise Linear Maps

AbstractIommi and Kiwi (J Stat Phys 135:535–546, 2009) showed that the Lyapunov spectrum of an expanding map need not be concave, and posed various problems concerning the possible number of inflection points. In this paper we answer a conjecture in Iommi and Kiwi (2009) by proving that the Lyapunov spectrum of a two branch piecewise linear map has at most two points of inflection. We then answer a question in Iommi and Kiwi (2009) by proving that there exist finite branch piecewise linear maps whose Lyapunov spectra have arbitrarily many points of inflection. This approach is used to exhibit a countable branch piecewise linear map whose Lyapunov spectrum has infinitely many points of inflection.

scholarly journals A CLASS OF GENES AFFECTING B FACTOR-REGULATED DEVELOPMENT IN SCHIZOPHYLLUM COMMUNE

Genetics ◽  
1976 ◽  
Vol 82 (3) ◽  
pp. 423-428
Author(s):  
Celia Dubovoy
Keyword(s):  
Genetic Factor ◽  
Schizophyllum Commune ◽  
Nuclear Migration ◽  
Complex Pattern ◽  
Developmental Phase ◽  
Linear Map ◽  
Incompatibility Factor ◽  
Complementation Groups ◽  
Cluster A ◽  
Specific Phase

ABSTRACT Twelve mutations affecting nuclear migration, a major developmental phase in Schizophyllum commune, display a complex pattern of complementation and recombination. They are expressed only when a genetic factor controlling this phase of development, the B incompatibility factor, is operative. All twelve mutations are linked to the B factor, nine in a cluster and three in distinct loci outside the cluster. A linear map cannot be constructed from the frequency of recombination. Complementation maps are not linear. There is little correlation between the complementation groups and the groups based on recombination. Many pairs of mutations that do not complement recombine with frequencies of 1.1% to 26.9%. The genes represented by the twelve mutations are located in a linked group of about 18 known genes involved in the specific phase of development controlled by the B factor.

Finite groups of quaternion matrices

1961 ◽  
Vol 28 (3) ◽  
pp. 383-386 ◽  
Author(s):  
J. E. Houle
Keyword(s):  
Finite Groups ◽  
Quaternion Matrices

Projective actions, invariant sigma-curves and quadratic functional equations

1985 ◽  
Vol 98 (2) ◽  
pp. 195-212 ◽  
Author(s):  
Patrick J. McCarthy
Keyword(s):  
Functional Equation ◽  
Periodic Function ◽  
Functional Equations ◽  
Continuous Solution ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Continuous Solutions ◽  
Linear Map

AbstractThe quadratic functional equation f(f(x)) *–Tf(x) + Dx = 0 is equivalent to the requirement that the graph be invariant under a certain linear map The induced projective map is used to show that the equation admits a rich supply of continuous solutions only when L is hyperbolic (T2 > 4D), and then only when T and D satisfy certain further conditions. The general continuous solution of the equation is given explicitly in terms of either (a) an expression involving an arbitrary periodic function, function additions, inverses and composites, or(b) suitable limits of such solutions.

scholarly journals Existence of an invariant form under a linear map

2017 ◽  
Vol 48 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Krishnendu Gongopadhyay ◽  
Sudip Mazumder
Keyword(s):  
Invariant Form ◽  
Linear Map

scholarly journals A NON-EXTENDABLE BOUNDED LINEAR MAP BETWEEN C*-ALGEBRAS

2001 ◽  
Vol 44 (2) ◽  
pp. 241-248 ◽  
Author(s):  
Narutaka Ozawa
Keyword(s):  
Linear Extension ◽  
Subject Classification ◽  
Primary 46L05 ◽  
Bounded Linear ◽  
Linear Map ◽  
C Algebras ◽  
Secondary 46L07

AbstractWe present an example of a $C^*$-subalgebra $A$ of $\mathbb{B}(H)$ and a bounded linear map from $A$ to $\mathbb{B}(K)$ which does not admit any bounded linear extension. This generalizes the result of Robertson and gives the answer to a problem raised by Pisier. Using the same idea, we compute the exactness constants of some Q-spaces. This solves a problem raised by Oikhberg. We also construct a Q-space which is not locally reflexive.AMS 2000 Mathematics subject classification: Primary 46L05. Secondary 46L07

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