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Displaying 21 – 40 of 79

On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov

Piotr W. Nowak (2006)

Fundamenta Mathematicae

We show that the Hilbert space is coarsely embeddable into any $ℓ_{p}$ for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into $ℓ_{p}$ are equivalent for 1 ≤ p < 2.

On complete-cocomplete subspaces of an inner product space

David Buhagiar, Emmanuel Chetcuti (2005)

Applications of Mathematics

In this note we give a measure-theoretic criterion for the completeness of an inner product space. We show that an inner product space $S$ is complete if and only if there exists a $σ$ -additive state on $C (S)$ , the orthomodular poset of complete-cocomplete subspaces of $S$ . We then consider the problem of whether every state on $E (S)$ , the class of splitting subspaces of $S$ , can be extended to a Hilbertian state on $E (\bar{S})$ ; we show that for the dense hyperplane $S$ (of a separable Hilbert space) constructed by P. Pták and...

On convergence in $n$ -inner product spaces.

Gunawan, Hendra (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On criteria of Blumenthal for inner-product spaces

Joseph Valentine (1971)

Fundamenta Mathematicae

On discrete subspaces of a Hilbert space

J. Płonka (1977)

Colloquium Mathematicae

On distortion of a class of analytic functions under a familly of operators

Yosaku Komatu (1996)

Banach Center Publications

Consider a family of integral operators and a related family of differential operators, both defined on a class of analytic functions holomorphic in the unit disk, distortion properties of the real part are derived from a general aspect.

On generalizations of Grüss inequality in inner product spaces and applications.

Kechriniotis, Aristides I., Delibasis, Konstantinos K. (2010)

Journal of Inequalities and Applications [electronic only]

On Hardy-Hilbert's integral inequality with parameters.

He, Leping, Gao, Mingzhe, Jia, Weijian (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On homomorphisms of projective lattices in complex Hilbert spaces

A. Paszkiewicz (1980)

Colloquium Mathematicae

On hyponormal operators in Krein spaces

Kevin Esmeral, Osmin Ferrer, Jorge Jalk, Boris Lora Castro (2019)

Archivum Mathematicum

In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators $T$ for which there exists a fundamental decomposition $𝕂 = 𝕂^{+} \oplus 𝕂^{-}$ of the Krein space $𝕂$ with $𝕂^{+}$ and $𝕂^{-}$ invariant under $T$ .