Kadison's Pythagorean theorem and essential codimension

DOI10.1007/s00020-017-2365-yOpenAlexW2559365841WikidataQ114232095 ScholiaQ114232095MaRDI QIDQ1676899

Jireh Loreaux, Victor Kaftal

Publication date: 10 November 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06754

zbMATH Keywords

essential codimensiondiagonals of projectionsdiagonals of selfadjoint operatorsFredholm pairs of projections

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) (Semi-) Fredholm operators; index theories (47A53) General harmonic expansions, frames (42C15)

Related Items

Remarks on essential codimension, Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov, A Measurable Selector in Kadison’s Carpenter’s Theorem, Admissible sequences of positive operators, Diagonals of operators and Blaschke’s enigma, On restricted diagonalization

Cites Work

• An infinite dimensional Schur-Horn theorem and majorization theory
• Strong sums of projections in von Neumann factors
• Why the circle is connected: An introduction to quantized topology
• The index of a pair of projections
• On pairs of projections in a Hilbert space
• Spectral flow in Fredholm modules, eta invariants and the JLO cocycle
• Spectral flow and Dixmier traces
• Majorisation and the carpenter's theorem
• The local index formula in semifinite von Neumann algebras. II: the even case
• Homotopy Classification of Projections in the Corona Algebra of a Non-simple C*-algebra
• The Pythagorean Theorem: I. The finite case
• The Pythagorean Theorem: II. The infinite discrete case
• The Schur-Horn Theorem for operators with finite spectrum
• Diagonals of normal operators with finite spectrum
• Two Subspaces
• Theory of operator algebras I.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item