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Everything about Trace class
Compact operator for which a finite trace can be defined
In mathematics, specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite number independent of the choice of basis used to compute the trace. This trace of trace-class operators generalizes the trace of matrices studied in linear algebra. All trace-class operators are compact operators. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Trace classA 5-minute orientation
- Skim a recent paper: CATRO: Channel Pruning via Class-Aware Trace Ratio OptimizationInfluential work since 2022
- Pick up a classic book: Fundamentals of Computer Programming with CSharp Free Book (by Nakov & Co.)The most-reprinted book on the subject
- Read the landmark paper: Kernels of trace class operatorsCited 80 times
- Go sideways: Hilbert–Schmidt operatorA closely related topic
- Go sideways: Compact operator on Hilbert spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Kernels of trace class operators
Perturbation of continuous spectra by Trace class operators
A trace class operator inequality
Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators
Trace-class operators and commutators
Trace formula for nontrace-class perturbations
TRACE CLASS HANKEL OPERATORS
Trace-Class for an Arbitrary H ∗ -Algebra
🆕 Influential since 2022
CATRO: Channel Pruning via Class-Aware Trace Ratio Optimization
Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Ligands of the trace amine-associated receptors (TAARs): A new class of anxiolytics
When do triple operator integrals take value in the trace class?
Trace class operators and states in p-adic quantum mechanics
📚 Books worth reading
Fundamentals of Computer Programming with CSharp Free Book (by Nakov & Co.)Svetlin Nakov · 2013
Collected works of Hervé JacquetHervé Jacquet · 2011
Spectral analysis, differential equations, and mathematical physicsFritz Gesztesy, H. Holden · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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