Basic sequences, embeddings, and the uniqueness of the symmetric structure in unitary matrix spaces

DOI10.1016/0022-1236(81)90052-5zbMath0457.47035OpenAlexW2062560221MaRDI QIDQ1151116

Jonathan Arazy

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90052-5

zbMATH Keywords

unitary matrix spacesbasic sequencessymmetric sequence spacestensor product of Hilbert space operatorsuniqueness of the symmetric structure

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear spaces of operators (47L05) Tensor products in functional analysis (46M05)

Related Items (15)

Lack of isomorphic embeddings of symmetric function spaces into operator ideals ⋮ \({\mathcal COL}_p\) spaces -- the local structure of non-commutative \(L_p\) spaces ⋮ Banach-Saks property in Marcinkiewicz spaces ⋮ On Stability of Unitary Matrix Spaces ⋮ More on Convergence in Unitary Matrix Spaces ⋮ (Strongly-)Dunford-Pettis operators and narrow operators ⋮ Convergence in Trace Ideals ⋮ On the geometry of the unit ball of unitary matrix spaces ⋮ Subprojective Banach spaces ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II ⋮ Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals ⋮ Единственность симметричной структуры в идеалах компактных операторов ⋮ Norm inequalities for partitioned operators and an application ⋮ On p-convexity and q-concavity of unitary matrix spaces ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

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• On the geometry of the unit ball of unitary matrix spaces
• Some remarks on interpolation theorems and the boundness or the triangular projection in unitary matrix spaces
• Symmetric structures in Banach spaces
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• The main triangle projection in matrix spaces and its applications
• Interpolation functors, sequence ideals and operator ideals

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