Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Bruce L. Chalmers"'
Autor:
Bruce L. Chalmers, Grzegorz Lewicki
Publikováno v:
Studia Mathematica. 200:103-129
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d5373c028354207a6ff63ae981578cf
https://doi.org/10.4064/sm200-2-1
https://doi.org/10.4064/sm200-2-1
Autor:
Grzegorz Lewicki, Bruce L. Chalmers
Publikováno v:
Journal of Functional Analysis. 257:553-592
Let V be an n-dimensional real Banach space and let λ(V) denote its absolute projection constant. For any N∈N, N⩾n, define λnN=sup{λ(V):dim(V)=n,V⊂l∞(N)} and λn=sup{λ(V):dim(V)=n}. A well-known Grunbaum conjecture (p. 465 in [B. Grunbaum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::666df496518129917973045c4a83128a
https://doi.org/10.1016/j.jfa.2009.01.005
https://doi.org/10.1016/j.jfa.2009.01.005
Publikováno v:
Journal of Approximation Theory. 138:184-196
Let X denote a (real) Banach space and V an n-dimensional subspace. We denote by B=B(X, V) the space of all bounded linear operators from X into V; let P(X, V) be the set of all projections in B. For a given cones S ⊂ X, we denote by P=PS(X, V) the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6871dae5e88b87925ac64878c08aa55
https://doi.org/10.1016/j.jat.2005.11.006
https://doi.org/10.1016/j.jat.2005.11.006
Publikováno v:
Linear Algebra and its Applications. 375:157-170
Let X denote a real Banach space, X* its dual space and V an n-dimensional subspace of X. Given a weak*-closed cone S*⊂X*, we say that f∈X has shape if 〈f,φ〉⩾0 for all φ∈S*. Let S⊂X denote the cone of elements having shape. Suppose th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e237184a46de739fb6f3ccfbfc4a31ec
Autor:
Grzegorz Lewicki, Bruce L. Chalmers
Publikováno v:
Journal of Functional Analysis. 200(1):1-22
In this paper we introduce a special class of finite-dimensional symmetric subspaces of L1, so-called regular symmetric subspaces. Using this notion, we show that for any k⩾2, there exist k-dimensional symmetric subspaces of L1 which have maximal p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12760dde013cb2a66369c9e9f9f988ed
Publikováno v:
Journal of Computational Analysis and Applications. 5:11-24
In this paper we review ongoing work on operators having norm-preserving extensions to every overspace. We call them Hahn-Banach operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50384e48560a1ed94f16fb612fa8d1da
https://doi.org/10.1023/a:1021422021023
https://doi.org/10.1023/a:1021422021023
Autor:
Bruce L. Chalmers
Publikováno v:
Journal of Computational Analysis and Applications. 5:3-10
Let T~=∑i=1n ũi⊗rvi:V → V=[v1,. . . .,vn]⊂ X, where ũi∈ V* and X is a Banach space. Let T= ∑i=1nui⊗vi: X→ V be an extension of T~ to all of X (i.e., ui∈ X*) such that T has minimal (operator) norm. (E.g., if T~=I, T is a minimal p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94e82d85c9f02427c2f87f925fee293a
https://doi.org/10.1023/a:1021469904185
https://doi.org/10.1023/a:1021469904185
Publikováno v:
Computers & Mathematics with Applications. 40(1):63-70
In this paper, useful characterization theorems are presented for minimal Boolean sum and blending-type projections and extensions. (~) 2000 Elsevier Science Ltd. All rights reserved.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261ca9024f5c3cb18caf1e689f0aa9f2
Autor:
Bruce L. Chalmers, Boris Shekhtman
Publikováno v:
Computers & Mathematics with Applications. 40(1):71-79
In this paper, we continue investigation of an action constant λ A ( V ) introduced in [1–3]. In particular, we show that, if n is the dimension of V , then λ A ( V ) ≤ θ ( A )√ n , which is the generalization of the well-known estimate λ I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::529c49b63379ca85a59018907b6fca09