AbstractLet A be an arbitrary Banach space operator with resolvent defined for all λ > 0. We define a linear manifold Z in the given space and a norm ⦀·⦀ on Z majorizing the given norm, such that (Z, ⦀·⦀) is a Banach space, and the restriction of A to Z generates a strongly continuous semigroup of contractions in Z. This so-called Hille-Yosida space (Z, ⦀·⦀) is “maximal-unique” in a suitable sense
AbstractLet (B, B+, ∥ · ∥) denote a Banach space B, ordered by a proper norm-closed convex cone B+, ...
AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Bana...
In this paper we prove that the maximal $L^p$-regularity property on the interval $(0,T)$, $T>0$, fo...
AbstractLet A be an arbitrary Banach space operator with resolvent defined for all λ > 0. We define ...
AbstractLet A be a linear operator in a Banach space X with the resolvent defined for all λ > 0; we ...
AbstractIn this paper necessary and sufficient conditions on the resolvent of an operator T are obta...
AbstractLet Ti = {Ti(t): t ⩾ 0} be a (C0) semigroup of linear operators on a Banach space X, with in...
AbstractWe give sufficient conditions for generation of strongly continuous contraction semigroups o...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractA necessary and sufficient condition that a densely defined linear operator A in a sequentia...
AbstractLet A be a linear, closed, densely defined m-accretive operator from a Banach space X to its...
AbstractDissipative linear mappings Z defined on the dense union of an increasing sequence of closed...
ABSTRACT. Suppose A is a lineax operator (not necessaxily densely defined) on a Banach space. We sho...
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequential...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
AbstractLet (B, B+, ∥ · ∥) denote a Banach space B, ordered by a proper norm-closed convex cone B+, ...
AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Bana...
In this paper we prove that the maximal $L^p$-regularity property on the interval $(0,T)$, $T>0$, fo...
AbstractLet A be an arbitrary Banach space operator with resolvent defined for all λ > 0. We define ...
AbstractLet A be a linear operator in a Banach space X with the resolvent defined for all λ > 0; we ...
AbstractIn this paper necessary and sufficient conditions on the resolvent of an operator T are obta...
AbstractLet Ti = {Ti(t): t ⩾ 0} be a (C0) semigroup of linear operators on a Banach space X, with in...
AbstractWe give sufficient conditions for generation of strongly continuous contraction semigroups o...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractA necessary and sufficient condition that a densely defined linear operator A in a sequentia...
AbstractLet A be a linear, closed, densely defined m-accretive operator from a Banach space X to its...
AbstractDissipative linear mappings Z defined on the dense union of an increasing sequence of closed...
ABSTRACT. Suppose A is a lineax operator (not necessaxily densely defined) on a Banach space. We sho...
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequential...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
AbstractLet (B, B+, ∥ · ∥) denote a Banach space B, ordered by a proper norm-closed convex cone B+, ...
AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Bana...
In this paper we prove that the maximal $L^p$-regularity property on the interval $(0,T)$, $T>0$, fo...
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