scholarly journals Multiplicative functional on elementary fuzzy matrices

2019 ◽  
Vol S (1) ◽  
pp. 45-47
Author(s):  
Thangaraj Beaula ◽  
Mallika M
Keyword(s):  
Multiplicative Functional

MULTIPLICATIVE SPECTRAL FUNCTIONALS ON

2020 ◽  
Vol 102 (2) ◽  
pp. 303-307
Author(s):  
C. TOURÉ ◽  
R. BRITS
Keyword(s):  
Multiplicative Functional

If $A$ is a commutative $C^{\star }$-algebra and if $\unicode[STIX]{x1D719}:A\rightarrow \mathbb{C}$ is a continuous multiplicative functional such that $\unicode[STIX]{x1D719}(x)$ belongs to the spectrum of $x$ for each $x\in A$, then $\unicode[STIX]{x1D719}$ is linear and hence a character of $A$. This establishes a multiplicative Gleason–Kahane–Żelazko theorem for $C(X)$.

scholarly journals Inequalities Characterizing Linear-Multiplicative Functionals

2015 ◽  
Vol 2015 ◽  
pp. 1-3 ◽  
Author(s):  
Włodzimierz Fechner
Keyword(s):  
Hausdorff Spaces ◽  
Multiplicative Functional ◽  
Real Algebra ◽  
Multiplicative Functionals

We prove, in an elementary way, that if a nonconstant real-valued mapping defined on a real algebra with a unit satisfies certain inequalities, then it is a linear and multiplicative functional. Moreover, we determine all Jensen concave and supermultiplicative operatorsT:CX→CY, whereXandYare compact Hausdorff spaces.

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