A superreflexive Banach space X with L(X) admitting a homomorphism onto the Banach algebra C(\(\beta\) N)

DOI10.1007/BF02788171zbMath0724.46018MaRDI QIDQ757785

Piotr Mankiewicz

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach algebra of all continuous linear endomorphisms on a Banach spacelinear multiplicative functionalseparable superreflexive Banach space

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (11)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces ⋮ A superreflexive Banach space with a finite dimensional decomposition so that no large subspace has a basis ⋮ Isolated points of spaces of homomorphisms from ordered AL-algebras ⋮ On spectrally bounded linear maps on \(B ( X )\) ⋮ Closed ideals of operators on the Tsirelson and Schreier spaces ⋮ A non-separable uniformly convex Banach space on which there are few operators ⋮ A solution of the finite-dimensional homogeneous Banach space problem ⋮ Almost periodic functionals on Banach algebras ⋮ Ideals in \(L(L_1)\) ⋮ Banach spaces for which the space of operators has 2^𝔠closed ideals

Cites Work

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• A Banach space without a basis which has the bounded approximation property
• Diameter of the Minkowski compactum is approximately equal to n
• Homotopy type of linear groups of two classes of Banach spaces
• Bases and reflexivity of Banach spaces
• Factoring the identity operator on a subspace of $l^{∞}_{n}$
• On the Existence and Uniqueness of Complex Structure and Spaces With "Few" Operators
• Finite-dimensional Banach spaces with symmetry constant of order √n
• Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
• A Superreflexive Banach Space Which Does Not Admit Complex Structure
• The dual J* of the James space has cotype 2 and the Gordon-Lewis property
• Subspace mixing properties of operators in $R^n$ with applications to Gluskin spaces
• Finite dimensional subspaces of $L_{p}$
• A Banach Space on which there are Few Operators
• Subalgebras of B(X)
• An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square

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