An ๐ฟยน-space for Boolean algebras and semireflexivity of spaces ๐ฟ^{โ}(๐,ฮฃ,๐)
An ๐ฟยน-space for Boolean algebras and semireflexivity of spaces ๐ฟ^{โ}(๐,ฮฃ,๐)
In this paper we suggest a measure free construction of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-spaces using Boolean algebras and strict topologies and initiate a duality theory of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper L โฆ