nonzero operator
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Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 … Wikipedia
Reflexive operator algebra — In functional analysis, a reflexive operator algebra A is an operator algebra that has enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace… … Wikipedia
Nilpotent operator — In operator theory, a bounded operator T on a Hilbert space is said to be nilpotent if Tn = 0 for some n. It is said to be quasinilpotent or topological nilpotent if its spectrum σ(T) = {0}. Examples In the finite dimensional case, i.e. when T is … Wikipedia
Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… … Wikipedia
Delta operator — In mathematics, a delta operator is a shift equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift equivariant means that if … Wikipedia
Dangerously irrelevant operator — In statistical mechanics and quantum field theory, a dangerously irrelevant operator (or dangerous irrelevant operator) is an operator which is irrelevant, yet affects the infrared physics significantly because the vacuum expectation value of… … Wikipedia
Symbol of a differential operator — In mathematics, differential operators have symbols, which are roughly speaking the algebraic part of the terms involving the most derivatives.Formal definitionLet E 1, E 2 be vector bundles over a closed manifold X , and suppose: P: C^infty(E 1) … Wikipedia
Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) … Wikipedia
Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) … Wikipedia
Matrix mechanics — Quantum mechanics Uncertainty principle … Wikipedia
Uncertainty principle — In quantum physics, the Heisenberg uncertainty principle states that locating a particle in a small region of space makes the momentum of the particle uncertain; and conversely, that measuring the momentum of a particle precisely makes the… … Wikipedia
