Fractional powers on noncommutative $L_p$ for $p<1$
Fractional powers on noncommutative $L_p$ for $p<1$
We prove that the homogeneous functional calculus associated to $x\mapsto |x|^\theta$ or $x\mapsto {\rm sgn}\, (x) |x|^{\theta}$ for $0<\theta<1$ is $\theta$-H\"older on selfadjoint elements of noncommutative $L_p$-spaces for $0
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Functional calculus for linear operators, noncommutative \(L_p\)-spaces, Noncommutative measure and integration, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Mathematics - Operator Algebras, functional calculus, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Noncommutative Lp, Noncommutative function spaces, -spaces, Mathematics - Functional Analysis, Functional calculus
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Functional calculus for linear operators, noncommutative \(L_p\)-spaces, Noncommutative measure and integration, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Mathematics - Operator Algebras, functional calculus, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Noncommutative Lp, Noncommutative function spaces, -spaces, Mathematics - Functional Analysis, Functional calculus
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