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Vision toolkit part 3. Scanpaths and derived representations for gaze behavior characterization: a review. [PDF]

Front Physiol
Laborde Q, Roques A, Armougum A, Vayatis N, Bargiotas I, Oudre L.   +5 more
europepmc   +1 more source

Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces. [PDF]

J Evol Equ
Górny W.
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A normability condition for Frechet spaces

Mathematical Notes, 1985
Let X be a Frechet space with a continuous norm p, and let \(U_ p=\{x:p(x)\leq 1\}.\) The authors prove that if every continuous linear functional on X which is bounded on \(U_ p\) attains its supremum on \(U_ p\), then p generates the original topology of X, which is therefore a reflexive Banach space.
M I Kadets
exaly   +3 more sources

Strictly regular Frechet spaces

Mathematical Notes, 1982
Bekanntlich ist ein Fréchetraum \(E\) distinguiert, wenn gilt: \(E'\!_{\beta}=\lim_{\to}E'\!_{U^ 0_ n}\) (kanonisch). Ist dieser induktive Limes sogar strikt, so heißt \(E\) strikt regulär. Diese Räume werden untersucht und u.a. wird gezeigt, daß das starke Dual eines strikten (LB)-Raums nicht nur distinguiert ist (nach Grothendieck), sondern sogar ...
exaly   +2 more sources

Moments problem in Frechet spaces

Mathematical Notes, 1993
The author gives solvability conditions of moment problems for an arbitrary sequence of linear continuous functionals over Fréchet spaces. As is known many theorems in analysis state the solvability conditions for numerous moment problems. The author notes that the solvability problem is equivalent to the fact that the sequence of linear functionals is
exaly   +3 more sources

Quotient Spaces Without Bases in Nuclear Frechet Spaces

Canadian Journal of Mathematics, 1978
The first example of a nuclear Fréchet space without a basis was given by B. S. Mitiagin and N. M. Zobin [9; 10]. The question of existence of subspaces without bases in nuclear Fréchet spaces was recently settled in papers by P. Djakov and B. S. Mitiagin [2] and Ed Dubinsky [5]. In this paper we consider the analogous question for quotient spaces.
Dubinsky, Ed, Mitiagin, Boris
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I. FRECHET(V)SPACES

1952
exaly   +2 more sources

Weighted Frechet means as convex combinations in metric spaces: Properties and generalized median inequalities

Statistics and Probability Letters, 2012
In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space (y, d). We show that this binary operator is commutative, non-associative, idempotent, invariant to multiplication by a
Eric Kolaczyk, Andrew Simmons
exaly   +2 more sources

Interpolation in Separable Frechet Spaces with Applications to Spaces of Analytic Functions

Canadian Journal of Mathematics, 1975
Let E be a separable Fréchet space, and let E* be its topological dual space. We recall that a Fréchet space is, by definition, a complete metrizable locally convex topological vector space. A sequence {Ln} of continuous linear functional is said to be interpolating if for every sequence {An} of complex numbers, there exists an ƒ ∈ E such that Ln(ƒ ...
Gauthier, Paul M., Rubel, Lee A.
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Some problems on bases in Banach and frechet spaces

Israel Journal of Mathematics, 1964
This paper is a revised version of the author’s report during the Symposium “On Series and Geometry in Linear Spaces” held at The Hebrew University of Jerusalem, March 16–24, 1964. Some problems of the existence (for a given Frechet space) of closed linear subspaces and quotient spaces with bases are discussed.
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