Separable spaces of continuous functions as Calkin algebras

DOI10.1090/jams/1024arXiv2110.10868OpenAlexW3206040409MaRDI QIDQ6053541

Publication date: 19 October 2023

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.10868

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

Unnamed Item
Unnamed Item
An unconditionally saturated Banach space with the scalar-plus-compact property
Hereditarily indecomposable Banach algebras of diagonal operators
A hereditarily indecomposable $\mathcal L_{\infty}$-space that solves the scalar-plus-compact problem
All automorphisms of the Calkin algebra are inner
Asymptotic $l_p$ hereditarily indecomposable Banach spaces
A class of special L//infinity spaces
An arbitrarily distortable Banach space
Extensions of $C^*$-algebras and $K$-homology
Banach spaces with small spaces of operators
A construction of a Banach space $C(K)$ with few operators
Banach spaces of continuous functions with few operators
Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras
On the complete separation of asymptotic structures in Banach spaces
Banach spaces whose algebra of bounded operators has the integers as their $K_0$-group
A Bourgain-Pisier construction for general Banach spaces
Harmonic synthesis for subgroups
A new dichotomy for Banach spaces
The Calkin algebra has outer automorphisms
Difference algebras of linear transformations on a Banach space
A generalization of Brouwer's fixed point theorem
Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
A hierarchy of Banach spaces with C(K) Calkin algebras
ON THE STRUCTURE OF SEPARABLE ‐SPACES
Operators on the_∞-spaces of Bourgain and Delbaen
Hereditarily indecomposable, separable ℒ _∞ Banach spaces with ℓ₁ dual having few but not very few operators
Examples of asymptotic ℓ₁ Banach spaces
The Unconditional Basic Sequence Problem
A BANACH SPACE WHOSE OPERATOR ALGEBRA HAS K₀-GROUP ℚ
A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
Normalized weakly null sequence with no unconditional subsequence
K -Theory for Algebras of Operators on Banach Spaces
The scalar-plus-compact property in spaces without reflexive subspaces
A Solution to Banach's Hyperplane Problem
A Banach space block finitely universal for monotone bases
Unital Banach algebras not isomorphic to Calkin algebras of separable Banach spaces
Ideal structure of the algebra of bounded operators acting on a Banach space
A reflexive hereditarily indecomposable space with the hereditary invariant subspace property
Absolutely summing operators in $ℒ_{p}$-spaces and their applications
$K$-theory for the Banach algebra of operators on Jame's quasi-reflexive Banach spaces

This page was built for publication: Separable spaces of continuous functions as Calkin algebras