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Paranormal measurable operators affiliated with a semifinite von Neumann algebra. II T is hyponormal, then T lies in P1∩ P3; if an operator T lies in P3, then UTU∗ belongs to P3 for all isometries U
Integrable products of measurable operators* ∈ Lp(M, τ); moreover, ||AB||p = |||A|B||p = |||A||B*|||p. If A is hyponormal, B is cohyponormal and AB
Two classes of τ-measurable operators affiliated with a von Neumann algebra contains P1. If a τ-measurable operator T is hyponormal, then T lies in P1; if an operator T lies in Pk
Paranormal Measurable Operators Affiliated with a Semifinite von Neumann Algebracontains P1. If a τ-measurable operator T is hyponormal, then T lies in P1; if an operator T lies in Pk
Two classes of τ-measurable operators affiliated with a von Neumann algebra contains P1. If a τ-measurable operator T is hyponormal, then T lies in P1; if an operator T lies in Pk
Integrable products of measurable operators* ∈ Lp(M, τ); moreover, ||AB||p = |||A|B||p = |||A||B*|||p. If A is hyponormal, B is cohyponormal and AB
Paranormal elements in normed algebra and investigate the ∥·∥- closed classes Pk(A). We show that P1(A) is a subset of Pk(A) for all k. If T in P1(A
On normal $\tau$-measurable operators affiliated with semifinite von Neumann algebrasOn normal $\tau$-measurable operators affiliated with semifinite von Neumann algebras
Paranormal measurable operators affiliated
with a semifinite von Neumann algebra. IIWe prove that every p-hyponormal measurable operator is paranormal.
On normal τ-measurable operators affiliated with semifinite von Neumann algebras-measurable operators are obtained; it is established that: 1) each τ-compact q-hyponormal operator is normal; 2) if a τ
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