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...

operations of it. For examples: Reflexivity As every intersection of reflexive relations is reflexive, we define the reflexive closure of R {\displaystyle...

self-related Reflexive user interface, an interface that permits its own command verbs and sometimes underlying code to be edited Reflexive operator algebra, an...

properties. They are non-selfadjoint algebras, are closed in the weak operator topology and are reflexive. Nest algebras are among the simplest examples of...

Positive element Positive linear functional operator algebra nest algebra reflexive operator algebra Calkin algebra Gelfand representation Gelfand–Naimark...

in particular, that every non-reflexive Banach space has some bounded linear functional (a type of bounded linear operator) that does not achieve its norm...

relation "less than or equal" is reflexive, antisymmetric and transitive, so is the set relation of "subset". It is the algebra of the set-theoretic operations...

Finitary closure operators with this property give rise to antimatroids. As another example of a closure operator used in algebra, if some algebra has universe...

reflexive spaces and includes many spaces of practical importance is the concept of Grothendieck space. Reflexive operator algebra – operator algebra...

of algebra, every linear operator on a nonzero finite-dimensional complex vector space has an eigenvector. Therefore, every such linear operator in at...

be the composition and * to be the reflexive transitive closure, we obtain a Kleene algebra. Every Boolean algebra with operations ∨ {\displaystyle \lor...

mathematics, and more specifically in abstract algebra, a rng (or non-unital ring or pseudo-ring) is an algebraic structure satisfying the same properties as...

module Finitely-presented module Finitely related module Algebraically compact module Reflexive module Concepts and theorems Composition series Length of...

Let A be a unital Jordan algebra over a field k of characteristic ≠ 2. For a in A define the Jordan multiplication operator on A by L ( a ) b = a b {\displaystyle...

Neumann algebras. In the 1940s, Israel Gelfand, Mark Naimark and Irving Segal gave a definition of a kind of operator algebras called C*-algebras that on...

Arveson, W. (1976). An Invitation to C*-Algebra. Springer-Verlag. ISBN 0-387-90176-0. R. C. James (1951). "A non-reflexive Banach space isometric with its second...

Compact operators on a Banach space are always completely continuous. If X is a reflexive Banach space, then every completely continuous operator T : X...

conditional Minimal axioms for Boolean algebra Peirce arrow Read-once function Sheffer stroke Sole sufficient operator Symmetric Boolean function Symmetric...

group Incidence algebra Monotonic Pointwise order of functions Galois connection Order embedding Order isomorphism Closure operator Functions that preserve...

rings has an inherent asymmetry between the two operators, while the axioms and theorems of Boolean algebra express the symmetry of the theory described...

In analogy with the case of the algebraic double dual, there is always a naturally defined continuous linear operator Ψ : V → V′′ from a normed space...

In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities...

existence. The space of bounded linear operators B(X) on a Banach space X is an example of a unital Banach algebra. Since the definition of the spectrum...

{b^{2}-4ac}}}{2a}}}}}} Elementary algebra, also known as high school algebra or college algebra, encompasses the basic concepts of algebra. It is often contrasted...

fully characterizing the concept. Basic properties about equality like reflexivity, symmetry, and transitivity have been understood intuitively since at...

its reflexive reduction <). Complete Boolean algebra. A Boolean algebra that is a complete lattice. Complete Heyting algebra. A Heyting algebra that...

spaces and includes many spaces of practical importance. Reflexive operator algebra Reflexive space Trèves 2006, pp. 372–374. Narici & Beckenstein 2011...

interior algebra, a proper extension of Boolean algebra originally designed to capture the properties of the interior and closure operators of topology...

{\displaystyle a+c=b} . It is easy to check that ≤ {\displaystyle \leq } is reflexive and that it is transitive. M {\displaystyle M} is called naturally ordered...

the inverse order and vice versa. Semilattices can also be defined algebraically: join and meet are associative, commutative, idempotent binary operations...