Obituary: Nigel John Kalton, 1946-2010

DOI10.1112/blms/bdu085zbMath1302.01043OpenAlexW2171312000MaRDI QIDQ2933735

Gilles Godefroy

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1112/blms/bdu085

zbMATH Keywords

with bibliography

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of functional analysis (46-03)

Cites Work

• Lipschitz and uniform embeddings into l_∞
• The Unconditional Basic Sequence Problem
• Hermitian operators on complex Banach lattices and a problem of Garth Dales
• On a problem posed by M. M. Popov
• On models for linear operators
• Isomorphisms between spaces of vector-valued continuous functions
• Zeros of entire functions and characteristic determinants
• The complemented subspace problem revisited
• Symmetric norms and spaces of operators
• REMARKS ON ℓ1 AND -MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS
• Orbits in symmetric spaces, II
• ASYMPTOTIC UNCONDITIONALITY
• A new metric invariant for Banach spaces
• Characterizations of strictly singular operators on Banach lattices
• An Example in the Theory of Bilinear Maps
• Convexity conditions for non-locally convex lattices
• A Converse for the Cayley-Hamilton Theorem
• Locally Complemented Subspaces and ℒp-Spaces for 0 < p < 1
• Banach Envelopes of Non-Locally Convex Spaces
• On the Existence and Uniqueness of Complex Structure and Spaces With "Few" Operators
• Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
• Unusual Traces on Operator Ideals
• Decompositions of Banach Lattices into Direct Sums
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Hardy Spaces and Rearrangements
• Ellipsoids defined by Banach ideal norms
• Differentials of Complex Interpolation Processes for Kothe Function Spaces
• SURJECTIVE ISOMETRIES ON REARRANGEMENT-INVARIANT SPACES
• Basic sequences in F-spaces and their applications
• Consistency Theorems for Almost Convergence
• Exhaustive operators and vector measures
• Cauchy Problems for Certain Isaacs-Bellman Equations and Games of Survival
• Tauberian Operators on Banach Spaces
• On the "Three space problem".
• Idempotents of Norm One and Banach Algebra Representations of Compact Groups
• Orthonormal systems in Banach spaces and their applications
• Orlicz sequence spaces without local convexity
• COMPACT p-CONVEX SETS
• Linear operators whose domain is locally convex
• Examples for the Nonlocally Convex Three Space Problem
• Quotients of F-spaces
• Uniform equivalence between Banach spaces
• An Analogue of the Radon-Nikodym Property for Non-Locally Convex Quasi-Banach Spaces
• Stability results on interpolation scales of quasi-Banach spaces and applications
• Generalizing the Paley-Wiener perturbation theory for Banach spaces
• L'espace de Banach C0 est déterminé par sa métrique
• The Behaviour of Legendre And Ultraspherical Polynomials in L_p-Spaces
• Nonlinear equations and weighted norm inequalities
• On Nonatomic Banach Lattices and Hardy Spaces
• On vector-valued inequalities for Sidon sets and sets of interpolation
• Complex Interpolation of Hardy-Type Subspaces
• 1-Complemented Subspaces of Spaces With 1-Unconditional Bases
• Topologies on Riesz Groups and Applications to Measure Theory
• Twisted sums with 𝐶(𝐾) spaces
• Banach spaces embedding isometrically into $L{\textunderscore }p$ when $0<p<1$
• TWISTED HILBERT SPACES AND UNCONDITIONAL STRUCTURE
• Best constants for some operators associated with the Fourier and Hilbert transforms
• Operators between subspaces and quotients of L^1
• Roots of complex polynomials and Weyl-Heisenberg frame sets
• On Subspaces of c0 and Extension of Operators into C(K)-Spaces
• POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES
• TYPE AND ORDER CONVEXITY OF MARCINKIEWICZ AND LORENTZ SPACES AND APPLICATIONS
• UNCONDITIONALLY CONVERGENT SERIES OF OPERATORS AND NARROW OPERATORS ON $L_1$
• Subspaces of Rearrangement-Invariant Spaces
• Sums of Idempotents in Banach Algebras
• A remark on quasi-isometries
• On the existence of almost greedy bases in Banach spaces
• Lipschitz-free Banach spaces
• Remarks on rich subspaces of Banach spaces
• Perturbations of isometries between C(K)-spaces
• A Solution to Banach's Hyperplane Problem
• Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre
• An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
• TheM-ideal structure of some algebras of bounded linear operators
• Higher Order Commutators in Interpolation Theory.
• A remark on a problem of Klee
• Inclusion Theorems forK-Spaces
• A Tribute to Nigel J. Kalton (1946-2010)
• Rademacher bounded families of operators on 𝐿₁
• COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES
• The Geometry of L₀
• A Characterization of Real C(K)-Spaces
• Embedding vector‐valued Besov spaces into spaces of γ ‐radonifying operators
• Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals
• Best constants for Lipschitz embeddings of metric spaces into c₀
• Schauder Decompositions and Completeness
• Normalization Properties of Schauder Bases
• Values in differential games
• Saddle Points for Linear Differential Games
• The existence of value in differential games
• A series characterization of subspaces of 𝐿_{𝑝}(𝜇) spaces
• Unconditionality in spaces of m-homogeneous polynomials
• Maharam's problem
• A solution to the problem of \(L^p\)-maximal regularity
• Some remarks on multilinear maps and interpolation
• Greedy algorithm for general biorthogonal systems
• Frames of translates
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• The \(H^\infty\)-calculus and sums of closed operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The non-linear geometry of Banach spaces after Nigel Kalton
• Positive definite distributions and normed spaces
• R-bounded approximating sequences and applications to semigroups
• Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces
• Cauty's space enhanced
• \(M\)-ideals in Banach spaces and Banach algebras
• Set-functions and factorization
• The uniform structure of Banach spaces
• Invariant subspaces and the exponential map
• Multilinear paraproducts revisited
• Derivatives of analytic families of Banach spaces
• Compact and strictly singular operators on certain function spaces
• Pelczynski's property V on C(\(\Omega\) ,E) spaces
• Lipschitz structure of quasi-Banach spaces
• The coarse geometric Novikov conjecture and uniform convexity
• Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
• On rearrangements of vector-valued \(H_ 1\)-functions
• Uniqueness of unconditional and symmetric structures in finite dimensional spaces
• Extending Lipschitz maps into \(C(K)\)-spaces
• Delta-semidefinite and delta-convex quadratic forms in Banach spaces
• Cesaro mean convergence of martingale differences in rearrangement invariant spaces
• Convergence of the dual greedy algorithm in Banach spaces
• Pathological linear spaces and submeasures
• Remarks on subspaces of \(H_ p \)when \(0<p<1\)
• Ideal properties of regular operators beween Banach lattices
• Existence of separable uniformly homeomorphic nonisomorphic Banach spaces
• Banach spaces embedding into \(L_ 0\)
• Compact convex sets and complex convexity
• Harmonic functions in non-locally convex spaces
• Some applications of the complex interpolation method to Banach lattices
• An F-space with trivial dual where the Krein-Milman theorem holds
• A re-examination of the Roberts example of a compact convex set without extreme points
• Commutators of Hilbert-Schmidt operators II
• Subalgebras of Orlicz spaces and related algebras of analytic functions
• Isomorphisms between \(L_ p\)-function spaces when \(p<1\)
• On the relation between several notions of unconditional structure
• Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces
• Boundary value problems for nonlinear partial differential operators
• An F-space with trivial dual and non-trivial compact endomorphisms
• Homomorphisms of group algebras with norm less than \(\sqrt2\)
• On a class of nonlinear functionals on spaces of continuous functions
• Compact and strictly singular operators on Orlicz spaces
• Embedding \(L_1\) in a Banach lattice
• Uniqueness of unconditional bases in Banach spaces
• Greedy algorithm and \(m\)-term trigonometric approximation
• Counterexamples on \(L_p\)-maximal regularity
• \(M\)-ideals of compact operators
• The distortion problem
• Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets
• Discrete time analytic semigroups and the geometry of Banach spaces
• Convergence of the weak dual greedy algorithm in \(L_{p}\)-spaces.
• The thresholding greedy algorithm, greedy bases, and duality
• Polynomial approximation on convex subsets of \(\mathbb{R}^n\)
• Subspaces of \(c_0 (\mathbb{N})\) and Lipschitz isomorphisms
• \(L_p\)-maximal regularity on Banach spaces with a Schauder basis
• Maximal regularity of evolution equations on discrete time scales
• Sums of commutators in ideals and modules of type II factors.
• Uniqueness of the unconditional basis of \(\ell_{1}(\ell_p)\) and \(\ell_p(\ell_1)\), \(0<p<1\)
• Banach spaces without local unconditional structure
• Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces
• Trace-class operators and commutators
• Commutator structure of operator ideals
• A unified theory of commutator estimates for a class of interpolation methods
• An infinite Ramsey theorem and some Banach-space dichotomies
• A construction of a Banach space \(C(K)\) with few operators
• Banach spaces of continuous functions with few operators
• Spaces of Lipschitz and Hölder functions and their applications
• Banach spaces determined by their uniform structures
• Traces of compact operators and the noncommutative residue
• A new approach to the Ramsey-type games and the Gowers dichotomy in \(F\)-spaces
• Examples of uniformly homeomorphic Banach spaces
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Higher order estimates in complex interpolation theory
• Uniqueness of complex structure and real hereditarily indecomposable Banach spaces
• Even infinite-dimensional real Banach spaces
• The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• On the complemented subspaces problem
• Subseries convergence in topological groups and vector spaces
• On absolute bases
• The existence of value in differential games of pursuit and evasion
• FK-spaces containing \(c_0\)
• Upper values of differential games
• Structure in real Banach spaces. I and II
• Addendum to ``\(FK\)-spaces containing \(c_0\)
• Alternate play in differential games
• Spaces of compact operators
• Intersection bodies and \(L_{p}\)-spaces
• Rademacher series and decoupling
• Operators with an absolute functional calculus
• The Marcinkiewicz multiplier condition for bilinear operators
• Maximal regularity of discrete and continuous time evolution equations
• Szlenk indices and uniform homeomorphisms
• The range of operators on von Neumann algebras
• A Banach space in which every injective operator is surjective
• Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
• A Symplectic Banach Space with no Lagrangian Subspaces