Jun Tanaka

activity

20072026

most citedHahn Decomposition Theorem of Signed Lattice Measure

2 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.CV2026

On Hoffman's characterization theorem of parts

Jun-ichi Tanaka

Let $H^{\infty} (Δ)$ be the uniform algebra of bounded analytic functions on the open unit disc $Δ$ , and let $M (H^{\infty})$ be the maximal ideal space of $H^{\infty} (Δ)$ . Appl…

math.CV2022

Another proof of the corona theorem

Jun-ichi Tanaka

Let $H^{\infty} (Δ)$ be the uniform algebra of bounded analytic functions on the open unit disc $Δ$ , and let $M (H^{\infty})$ be the maximal ideal space of $H^{\infty} (Δ)$ . By r…

math.FA2014

Invariant subspaces with no generator and a problem of H. Helson

Jun-ichi Tanaka

In the almost periodic context, any $H_{0}^{2} -$ space cannot be generated by one of its elements. Together with cocycle argument, this derives that there exist all kinds of invariant s…

math.CA2009★ 2 cited

Hahn Decomposition Theorem of Signed Lattice Measure

Jun Tanaka

In this paper, we will define a signed Lattice measure on $σ$ -algebras, as well as give the definition of positive and negative Lattice. Herein, we will show that the Hahn Decompos…

math.GM2008

Modern Set

Jun Tanaka

In this paper, we intend to generalize the classical set theory as much as possible. we will do this by freeing sets from the regular properties of classical sets; e.g., the law of…

math.LO2008★ 1 cited

Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension

Jun Tanaka, Peter McLoughlin

In this paper, we will show how the Caratheodory Extension process is intimately related to the metric completion process. In particular, it will be shown how one is able to constr…