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Displaying 2441 – 2460 of 13204

Complex Convexity of Orlicz-Lorentz Spaces and its Applications

Changsun Choi, Anna Kamińska, Han Ju Lee (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

We give sufficient and necessary conditions for complex extreme points of the unit ball of Orlicz-Lorentz spaces, as well as we find criteria for the complex rotundity and uniform complex rotundity of these spaces. As an application we show that the set of norm-attaining operators is dense in the space of bounded linear operators from $d *_{(} w, 1)$ into d(w,1), where $d *_{(} w, 1)$ is a predual of a complex Lorentz sequence space d(w,1), if and only if wi ∈ c₀∖ℓ₂.

Complex dynamical systems and the geometry of domains in Banach spaces [Book]

Mark Elin, Simeon Reich, David Shoikhet (2004)

Complex dynamical systems on bounded symmetric domains.

Khatskevich, Victor, Reich, Simeon, Shoikhet, David (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Complex geodesics

Edoardo Vesentini (1981)

Compositio Mathematica

Complex Homomorphisms of the Algebras of Holomorphic Functions on Fréchet Spaces.

Jorge Mujica (1979)

Mathematische Annalen

Complex interpolation and $ℓ_{n}^{1}$ property.

Casini, Emanuele (1992)

Mathematica Pannonica

Complex interpolation and $L^{p}$ spaces

M. Carro, J. Cerdà (1991)

Studia Mathematica

Complex interpolation for $2^{N}$ Banach spaces

Giovanni Dore, Davide Guidetti, Alberto Venni (1986)

Rendiconti del Seminario Matematico della Università di Padova

Complex interpolation functors with a family of quasi-power function parameters

Ming Fan (1994)

Studia Mathematica

For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters...

Complex interpolation of function spaces with general weights

Douadi Drihem (2023)

Commentationes Mathematicae Universitatis Carolinae

We present the complex interpolation of Besov and Triebel–Lizorkin spaces with generalized smoothness. In some particular cases these function spaces are just weighted Besov and Triebel–Lizorkin spaces. As a corollary of our results, we obtain the complex interpolation between the weighted Triebel–Lizorkin spaces ${\dot{F}}_{p_{0}, q_{0}}^{s_{0}} (ω_{0})$ and ${\dot{F}}_{\infty, q_{1}}^{s_{1}} (ω_{1})$ with suitable assumptions on the parameters $s_{0}, s_{1}, p_{0}, q_{0}$ and $q_{1}$ , and the pair of weights $(ω_{0}, ω_{1})$ .

Complex preduals of L... and subspaces of l...(C).

N.J. Nielsen, G.H. Olsen (1977)

Mathematica Scandinavica

Complex rotundities and midpoint local uniform rotundity in symmetric spaces of measurable operators

Małgorzata Marta Czerwińska, Anna Kamińska (2010)

Studia Mathematica

We investigate the relationships between strongly extreme, complex extreme, and complex locally uniformly rotund points of the unit ball of a symmetric function space or a symmetric sequence space E, and of the unit ball of the space E(ℳ,τ) of τ-measurable operators associated to a semifinite von Neumann algebra (ℳ,τ) or of the unit ball in the unitary matrix space $C_{E}$ . We prove that strongly extreme, complex extreme, and complex locally uniformly rotund points x of the unit ball of the symmetric...

Complex Strict Convexity of Certain Banach Spaces.

J.E. Jamison, Irene Loomis, C.C. Rousseau (1985)

Monatshefte für Mathematik

Complex structure on the smooth dual of $G L (n)$ .

Brodzki, Jacek, Plymen, Roger (2002)

Documenta Mathematica

Complex tangential characterizations of Hardy-Sobolev spaces of holomorphic functions.

Sandrine Grellier (1993)

Revista Matemática Iberoamericana

Let Ω be a C∞-domain in Cn. It is well known that a holomorphic function on Ω behaves twice as well in complex tangential directions (see [GS] and [Kr] for instance). It follows from well known results (see [H], [RS]) that some converse is true for any kind of regular functions when Ω satisfies(P) The real tangent space is generated by the Lie brackets of real and imaginary parts of complex tangent vectorsIn this paper we are interested in the behavior of holomorphic Hardy-Sobolev functions in...

Complex Unconditional Metric Approximation Property for $C_{Λ} ()$ spaces

Daniel Li (1996)

Studia Mathematica

We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ} ()$ of continuous functions on the circle group. We show that although some “tiny” (Sidon) sets do not have this property, there are “big” sets Λ for which $C_{Λ} ()$ has (ℂ-UMAP); though these sets are such that $L_{Λ}^{\infty} ()$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L_{Λ}^{\infty} ()$ spaces into the Baire class 1 functions.

Complexification norms and estimates for polynomials.

Pádraig Kirwan (2000)

Extracta Mathematicae

Complexification of the projective and injective tensor products

Gusti van Zyl (2008)

Studia Mathematica

We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.

Complexifications of real Banach spaces, polynomials and multilinear maps

Gustavo Muñoz, Yannis Sarantopoulos, Andrew Tonge (1999)

Studia Mathematica

We give a unified treatment of procedures for complexifying real Banach spaces. These include several approaches used in the past. We obtain best possible results for comparison of the norms of real polynomials and multilinear mappings with the norms of their complex extensions. These estimates provide generalizations and show sharpness of previously obtained inequalities.

Complexity of weakly null sequences [Book]

Dale E. Alspach, Spiros Argyros (1992)

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