analysis and related areas of mathematics, the Mackey topology, named after George Mackey, is the finest topology for a topological vector space which still...

space whose given topology is identical to the Mackey topology is called a Mackey space. The following consequence of the above Mackey-Arens theorem is...

The different dual topologies for a given dual pair are characterized by the Mackey–Arens theorem. All locally convex topologies with their continuous...

functional analysis, a Mackey space is a locally convex topological vector space X such that the topology of X coincides with the Mackey topology τ(X,X′), the finest...

topology and the ultraweak topology are all sometimes called the weak topology, but they are different.) The Mackey topology or Arens-Mackey topology...

The Mackey–Arens theorem is an important theorem in functional analysis that characterizes those locally convex vector topologies that have some given...

related areas of mathematics a polar topology, topology of G {\displaystyle {\mathcal {G}}} -convergence or topology of uniform convergence on the sets...

George Whitelaw Mackey (February 1, 1916 – March 15, 2006) was an American mathematician known for his contributions to quantum logic, representation theory...

Extension topology Auxiliary normed spaces Finest locally convex topology Finest vector topology Helly space Mackey topology Polar topology Vague topology Dual...

dual X ′ , {\displaystyle X^{\prime },} the topology of X {\displaystyle X} coincides with the Mackey topology τ ( X , X ′ ) . {\displaystyle \tau (X,X^{\prime...

{\displaystyle X} 's topology is identical to the strong dual topology b ( X , X ′ ) {\displaystyle b\left(X,X^{\prime }\right)} and to the Mackey topology on X . {\displaystyle...

Locally convex topological vector space Mackey topology Mackey–Arens theorem Montel space Polar set Polar topology Seminorm Amenable group Von Neumann conjecture...

topology. The hull-kernel topology is an analogue for non-commutative rings of the Zariski topology for commutative rings. The topology on  induced from the...

variety of topologies. Studying space of linear maps and these topologies can give insight into the spaces themselves. The article operator topologies discusses...

minimal type, the order topology τ O {\displaystyle \tau _{\operatorname {O} }} on X {\displaystyle X} is equal to the Mackey topology τ ( X , X ′ ) , {\displaystyle...

which C {\displaystyle C} is a normal cone; it is also the same as the Mackey topology induced on X {\displaystyle X} with respect to the duality ⟨ X , X...

{\displaystyle \tau } indicates the Mackey topology on X ′ {\displaystyle X^{\prime }} ; X weak the weak topology σ ( X , X ′ ) {\displaystyle \sigma...

theory – Subfield of mathematical logic Polish space – Concept in topology Mackey, G.W. (1966), "Ergodic Theory and Virtual Groups", Math. Ann., 166...

space with the product topology. Such a topology is said to be compatible with the group operations and is called a group topology. Checking continuity...

{\displaystyle \tau \left(X,X^{\prime }\right)} denotes the Mackey topology on X {\displaystyle X} or the topology of uniform convergence on the convex balanced weakly...

{\displaystyle C_{c}^{\infty }(U),} is endowed with a certain topology, called the canonical LF-topology, that makes C c ∞ ( U ) {\displaystyle C_{c}^{\infty }(U)}...

canonical LF-topology does make C c ∞ ( U ) {\displaystyle C_{c}^{\infty }(U)} into a complete reflexive nuclear Montel bornological barrelled Mackey space;...

algebras. Brown studied at Harvard University, graduating in 1968 with George Mackey as his advisor and thesis entitled On the Structure of Locally Compact Groups...

the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary representations of locally...

apparent in duality theory, especially because of the Mackey–Arens theorem and the Mackey topology. Starting around the 1950s, it became apparent that topological...

in the strong dual topology if and only if it converges in the weak* topology, Ultrabornological spaces, reflexive barrelled Mackey spaces. If 1 ≤ p ≤...

operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions...

kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting...

the book Counterexamples in Topology, including Arens–Fort space. Arens died in Los Angeles, California. Arens square Mackey–Arens theorem A different person...

they are Brunnian, alternating, algebraic, and hyperbolic. In arithmetic topology, certain triples of prime numbers have analogous linking properties to...