On Banach subalgebras of the Dirichlet Hardy algebra $$\mathscr {H}^\infty $$ consisting of lacunary Dirichlet series
Abstract
Abstract Let $$\mathscr {H}^\infty $$ H ∞ be the set of all Dirichlet series $$\textstyle f\!=\!{{\sum \limits _{n=1}^\infty }} a_nn^{-s}$$ f = ∑ n = 1 ∞ a n n - s (where $$a_n\!\in \mathbb {C}$$ a n ∈ C for all $$n\!\in \! \mathbb {N}\!=\!\{1,2,3,\cdots \}$$ n ∈ N = { 1 , 2 , 3 , ⋯ } ) that converge at each s in the half-plane $$\mathbb {C}_0\!:=\!\{s\!\in \! \mathbb {C}\!:\! \text {Re}(s)\!>\!0\}$$ C 0 : = { s ∈ C : Re ( s ) > 0 } , such that $$\Vert f\Vert _{\infty }\!=\!\sup _{s\in \mathbb {C}_0}\!|f(s)|\!
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Integral Equations and Operator Theory
- Volume
- 98
- Issue
- 1
- Publication date
- 20 January 2026
- Language
- EN