Bounds for Constants in Some Operator Inequalities in the Schatten Classes | Zendy

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Bounds for Constants in Some Operator Inequalities in the Schatten Classes

Author(s) -

Abdessemed A.

Publication year - 1990

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-41.2.303

Subject(s) - hilbert space , mathematics , inequality , pure mathematics , operator (biology) , combinatorics , constant (computer programming) , space (punctuation) , discrete mathematics , mathematical analysis , chemistry , computer science , biochemistry , repressor , transcription factor , gene , programming language , operating system

Upper and lower bounds are found for the smallest constants α p and β p for which the following inequalities hold: ∥| A | B − B | A |∥ p ⩽α p ∥ AB − BA ∥ p , ∥| A |−| B |∥ p ⩽β p ∥ A − B ∥ p for all self‐adjoint operators A and B on a Hilbert space.

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