- A hereditarily indecomposable L∞ -space that solves the scalar-plus-compact problem
2011/01/01 by Spiros A. Argyros, Richard Haydon · 2 citations
Mathematics · #Advanced Banach Space Theory #Holomorphic and Operator Theory #Nonlinear Differential Equations Analysis #Mathematics #Indecomposable module #Banach space #Scalar (mathematics) #Bounded function #Pure mathematics #Space (punctuation) #Operator space #Bounded operator #Dual space #Discrete mathematics #Mathematical analysis #Finite-rank operator #Geometry
- A Solution to the Invariant Subspace Problem on the Space l 1
1985/07/01 by C. J. Read · 1 citation
Mathematics · Computer Science · #Holomorphic and Operator Theory #Differential Equations and Boundary Problems #Matrix Theory and Algorithms #Mathematics #Invariant subspace #Subspace topology #Invariant subspace problem #Invariant (physics) #Reflexive operator algebra #Linear subspace #Operator (biology) #Pure mathematics #Discrete mathematics #Mathematical analysis #Algebra over a field #Mathematical physics #Operator space #Compact operator #Banach space #Finite-rank operator #Computer science
- An Operator Without Invariant Subspaces on a Nuclear Frechet Space
1983/05/01 by Aharon Atzmon · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Nonlinear Differential Equations Analysis #Mathematics #Linear subspace #Invariant (physics) #Subspace topology #Invariant subspace #Hilbert space #Operator (biology) #Separable space #Compact operator #Reflexive operator algebra #Pure mathematics #Invariant subspace problem #Combinatorics #Banach space #Discrete mathematics #Finite-rank operator #Operator space #Mathematical analysis #Mathematical physics
- Invariant subspaces of polynomially compact operators
1966/03/01 by Paul R. Halmos · 3 citations
Mathematics · #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #Algebraic and Geometric Analysis #Mathematics #Linear subspace #Reflexive operator algebra #Invariant (physics) #Pure mathematics #Invariant subspace problem #Algebra over a field #Compact operator #Finite-rank operator #Banach space #Computer science #Mathematical physics #Operator space