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Paranormal elements in normed algebra
© Allerton Press, Inc., 2018. For a normed algebra A and natural numbers k we introduce

Ideal F-norms on C*-algebras F-norm for two series of elements from a W*-algebra.

C*-algebra Positive Element Invertibility Criteria in Terms of L1-norms Equivalence and L -norms Equivalence to the natural norm of a C*-algebra, which means the invertibility of a in the case of unital C*-algebra

Ideal F-norms on C*-algebras F-norm for two series of elements from a W*-algebra.

Diophantine Equation Generated by the Maximal Subfield of a Circular Fieldnorm of algebraic number

Seminorms Associated with Subadditive Weights on C*-AlgebrasRMϕ+, and a sufficient condition for the seminorm to be a norm is given. Let I be the unit of the algebra A

The Haagerup problem on subadditive weights on W*-algebras. II weights and norms for wide class of normed solid spaces on atomic W*-algebras. © 2013 Allerton Press, Inc.

Differences of idempotents in C*-algebras. Applications of this inequality are obtained to the characterization of a trace and ideal F-pseudonorms on a W*-algebra

The Haagerup problem on subadditive weights on W*-algebras. II weights and norms for wide class of normed solid spaces on atomic W*-algebras. © 2013 Allerton Press, Inc.

L1 -space for a positive operator affiliated with von Neumann algebra an L1-type space for a positive selfadjoint operator affiliated with von Neumann algebra

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