The Apostol-Fialkow formula for elementary operators on Banach spaces

DOI10.1006/jfan.1998.3345zbMath0959.47021OpenAlexW2087067829WikidataQ109553848 ScholiaQ109553848MaRDI QIDQ1284045

Hans-Olav Tylli, Eero Saksman

Publication date: 2 May 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3345

zbMATH Keywords

Schauder basiselementary operatorCalkin algebraspace of compact operatorsunconditional basis constantApostol-Fialkow formula

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Norm Equalities for Derivations ⋮ Norm equality for a basic elementary operator. ⋮ Rigidity of commutators and elementary operators on Calkin algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectral picture of \((L_ A,R_ B)\)
• On the uniform convexity of \(L^p\) and \(l^p\)
• Elementary operators on prime \(C^*\)-algebras. I
• A note on norm ideals and the operator \(X\to AX-XB\)
• Completely bounded module maps and the Haagerup tensor product
• On the tensor product of weakly compact operators
• The central Haagerup tensor product and maps between von Neumann algebras
• Interpolation of operator ideals with an application to eigenvalue distribution problems
• Weak essential spectra of multiplication operators on spaces of bounded linear operators
• The Haagerup norm on the tensor product of operator modules
• The norm of a derivation
• Norms of derivations on \({\mathfrak L}({\mathfrak X})\)
• Structural Properties of Elementary Operators
• A System of Operator Equations
• Tensor products and elementary operators.
• Weak Compactness of Multiplication Operators on Spaces of Bounded Linear Operators.
• Norms of Derivations
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Elementary operators on prime C*-algebras II
• On the central Haagerup tensor product
• Weak compactness and weak essential spectra of elementary operators
• The main triangle projection in matrix spaces and its applications