51 citations · 237 across the 37 of their papers we have counts for
8 papers · 1 filter
Fractional Powers of Operators: Characterization via -Regularized Logarithmic Representation
Yoritaka Iwata
For the fractional powers of operators, the classical formulation by V. Balakrishnan inherently requires positivity or specific sectorial conditions of the generator (i.e., the gen…
Recurrence formula for some higher order evolution equations
Yoritaka Iwata
Riccati's differential equation is formulated as abstract equation in finite or infinite dimensional Banach spaces. Since the Riccati's differential equation with the Cole-Hopf tra…
Unbounded generalization of the Baker-Campbell-Hausdorff formulae
Yoritaka Iwata
Based on the operator representation on the module over Banach algebra , the Campbell-Baker-Hausdorff formula is generalized to the unbounded situations. In conclusion, by me…
Unbounded generalization of logarithmic representation of infinitesimal generators
Yoritaka Iwata
The logarithmic representation of infinitesimal generators is generalized to the cases when the evolution operator is unbounded. The generalized result is applicable to the represe…
Operator topology for logarithmic infinitesimal generators
Yoritaka Iwata
Generally-unbounded infinitesimal generators are studied in the context of operator topology. Beginning with the definition of seminorm, the concept of locally convex topological v…
Theory of -module -Algebraic module structure of generally-unbounded infinitesimal generators-
Yoritaka Iwata
The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal gen…