On Haagerup noncommutative quasi Hp(A) spaces


Bekjan T.N.
15 March 2025Academic Press Inc.

Journal of Mathematical Analysis and Applications
2025#543Issue 2P1

Let M be a σ-finite von Neumann algebra, equipped with a normal faithful state φ, and let A be a maximal subdiagonal subalgebra of M. We have proved that for 0p(A) is independent of φ. Furthermore, in the case that A is a type 1 subdiagonal subalgebra, we have obtained an interpolation theorem for Hp(A) in the case where 0<θ<1, 00,p1≤∞ and [Formula presented.].

Haagerup noncommutative Hp-space , Interpolation , Subdiagonal algebras

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Astana IT University, Astana, 010000, Kazakhstan

Astana IT University

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