scholarly journals Superstability of Generalized Multiplicative Functionals

2009 ◽  
Vol 2009 (1) ◽  
pp. 486375
Author(s):  
Takeshi Miura ◽  
Hiroyuki Takagi ◽  
Makoto Tsukada ◽  
Sin-Ei Takahasi
Keyword(s):  
Multiplicative Functionals

scholarly journals Joint spectra and multiplicative functionals

1988 ◽  
Vol 56 (2) ◽  
pp. 357-366
Author(s):  
Andrzej Sołtysiak
Keyword(s):  
Multiplicative Functionals

Multiplicative Functionals on Frechet Algebras with Bases

1977 ◽  
Vol 29 (2) ◽  
pp. 270-276 ◽  
Author(s):  
T. Husain ◽  
J. Liang
Keyword(s):  
Multiplicative Functionals ◽  
Fréchet Algebra

Let A denote a complex (or real) Fréchet algebra (i.e. a complete metrizable locally m-convex algebra, see [2] or [3]). It is known [2] that the topology of such an algebra can be defined by an increasing sequence [qn] (i.e. qn(x) ≦ qn+i(x) for all x £ A and n ≧ 1) of submultiplicative (i.e. qn(xy) ≦ qn(x)qn(y) for all x, 3/ Ç ^4 and for each n ≧ I) seminorms.

scholarly journals Almost multiplicative functionals

1997 ◽  
Vol 124 (1) ◽  
pp. 37-58 ◽  
Author(s):  
Krzysztof Jarosz
Keyword(s):  
Multiplicative Functionals

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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