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

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3 papers · 1 filter

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.FA2008

An isomorphism between the completion of an Algebra and its Caratheodory Extension

Jun Tanaka

Let $Ω$ denote an algebra of sets and $μ$ a $σ$ -finite measure. We then prove that the completion of $Ω$ under the pseudometric $d (A, B)$ = $μ^{*} (A △ B)$ is $σ$ -algebra…

math.FA2007

A Realization of Measurable Sets as Limit Points

Jun Tanaka, Peter F. McLoughlin

Starting with a sigma finite measure on an algebra, we define a pseudometric and show how measurable sets from the Caratheodory Extension Theorem can be thought of as limit points…