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Displaying 241 – 260 of 399

Projectively invariant Hilbert-Schmidt kernels and convolution type operators

Jaeseong Heo (2012)

Studia Mathematica

We consider positive definite kernels which are invariant under a multiplier and an action of a semigroup with involution, and construct the associated projective isometric representation on a Hilbert C*-module. We introduce the notion of C*-valued Hilbert-Schmidt kernels associated with two sequences and construct the corresponding reproducing Hilbert C*-module. We also discuss projective invariance of Hilbert-Schmidt kernels. We prove that the range of a convolution type operator associated with...

Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem

Irina Melnikova (1996)

Banach Center Publications

The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.

Properties of typical bounded closed convex sets in Hilbert space.

de Blasi, F.S., Zhivkov, N.V. (2005)

Abstract and Applied Analysis

Propriétés des applications quadratiques d'un espace de Hilbert dans un espace vectoriel. Applications à la théorie spectrale des opérateurs normaux et à l'image numérique d'un opérateur

Claude Piquet (1971/1973)

Séminaire Choquet. Initiation à l'analyse

P-Universally bounded unitary operators and the structure of locally convex vector spaces

J. Vukman (1987)

Studia Mathematica

Quadratic Spaces with Few Isometries (Quadratic Forms and Linear Topologies VI)

Herbert Gross, Erwin Ogg (1973)

Commentarii mathematici Helvetici

Quantized orthonormal systems: A non-commutative Kwapień theorem

J. García-Cuerva, J. Parcet (2003)

Studia Mathematica

The concepts of Riesz type and cotype of a given Banach space are extended to a non-commutative setting. First, the Banach space is replaced by an operator space. The notion of quantized orthonormal system, which plays the role of an orthonormal system in the classical setting, is then defined. The Fourier type and cotype of an operator space with respect to a non-commutative compact group fit in this context. Also, the quantized analogs of Rademacher and Gaussian systems are treated. All this is...

Radial projections of bisectors in Minkowski spaces.

H. Martini, S. Wu (2008)

Extracta Mathematicae

Rectangular modulus and geometric properties of normed spaces.

Serb, Ioan (1999)

Mathematica Pannonica

Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces

Ioan Şerb (1999)

Commentationes Mathematicae Universitatis Carolinae

Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given. In this connection we define the rectangular modulus $μ_{_{X}}$ of the normed space $X$ . The values of the rectangular modulus at some noteworthy points are well-known constants of $X$ . Characterizations (involving $μ_{_{X}})$ of inner product spaces of dimension $\geq 2$ , respectively $\geq 3$ , are given and the behaviour of $μ_{_{X}}$ is studied.