In mathematical analysis, a C0-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function...

differentiability class C0 a C0-semigroup, a strongly continuous one-parameter semigroup c0, the Banach space of real sequences that converge to zero a C0 field is an...

bicyclic semigroup is in fact a monoid, which can be described as the free semigroup on two generators p and q, under the relation pq = 1. C0-semigroups. Regular...

T(s+t)=T(s)\circ T(t),\quad \forall t,s\geq 0.} The semigroup is said to be strongly continuous, also called a (C0) semigroup, if and only if the mapping t ↦ T ( t...

Markov semigroup describes the dynamics in a Markovian open quantum system. The axiomatic definition of the prototype of quantum Markov semigroups was first...

functional analysis. He is known for the Hille-Yosida theorem concerning C0-semigroups. Yosida studied mathematics at the University of Tokyo, and held posts...

Classification theorem for C0 contractions: Every C0 contraction is canonically quasi-similar to a direct sum of Jordan blocks. In fact every C0 contraction is quasi-similar...

know that C0(X) with the sup norm is a Banach space. A Feller semigroup on C0(X) is a collection {Tt}t ≥ 0 of positive linear maps from C0(X) to itself...

problem is uniformly well posed, then the associated semigroup U ( t ) {\displaystyle U(t)} is a C0-semigroup in X {\displaystyle X} . Conversely, if A {\displaystyle...

Stone's theorem on one-parameter unitary groups Hille–Yosida theorem C0-semigroup [xn, p] = i ℏ nxn − 1, hence 2‖p‖ ‖x‖n ≥ n ℏ ‖x‖n − 1, so that, ∀n: 2‖p‖ ‖x‖...

mathematics, the four-spiral semigroup is a special semigroup generated by four idempotent elements. This special semigroup was first studied by Karl Byleen...

then XY+Z = XY·XZ and Y+ZX = YX·ZX. Matrix function Matrix logarithm C0-semigroup Exponential function Exponential map (Lie theory) Magnus expansion Derivative...

formula. The Trotter–Kato theorem can be used for approximation of linear C0-semigroups. By the Baker–Campbell–Hausdorff formula, ( e A / n e B / n ) n = e...

of copies of A. In the study of semigroups, the Wagner–Preston theorem provides a representation of an inverse semigroup S, as a homomorphic image of the...

1967 with a Ph.D. in mathematics. His Ph.D. thesis Some Results on (C0) Semigroups and the Cauchy Problem was supervised by Gilbert Strang . From 1967...

existence and uniqueness follow from the fact the Murray-von Neumann semigroup of projections in an AF algebra is cancellative. The counterpart of simple...

\\G\mapsto F+G\end{cases}}} is continuous. More generally, if S is a semigroup with the discrete topology, the operation of S can be extended to βS,...

more elements of A, with the binary operation of concatenation. The free semigroup A+ is the subsemigroup of A* containing all elements except the empty...