Displaying similar documents to “Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets””

On homological classification of pomonoids by regular weak injectivity properties of S-posets

Xia Zhang, Valdis Laan (2007)

Open Mathematics

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If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different types of right ideals of S to S. We give an alternative description of such properties which uses systems of equations. Using these properties we prove several so-called...

Sets of determination for solutions of the Helmholtz equation

Jarmila Ranošová (1997)

Commentationes Mathematicae Universitatis Carolinae

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Let α > 0 , λ = ( 2 α ) - 1 / 2 , S n - 1 be the ( n - 1 ) -dimensional unit sphere, σ be the surface measure on S n - 1 and h ( x ) = ∫ S n - 1 e λ 〈 x , y 〉 d σ ( y ) . We characterize all subsets M of ℝ n such that inf x ∈ ℝ n u ( x ) h ( x ) = inf x ∈ M u ( x ) h ( x ) for every positive solution u of the Helmholtz equation on ℝ n . A closely related problem of representing functions of L 1 ( S n - 1 ) as sums of blocks of the form e λ 〈 x k , . 〉 / h ( x k ) corresponding to points of M is also considered. The results provide a counterpart to results for classical harmonic functions in a ball, and for parabolic functions on a slab, see References.

Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces

Argyros, Spiros, Arvanitakis, Alexander (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 46E15, 54C55; Secondary 28B20. For weakly compact subsets of Hilbert spaces K, we study the existence of totally disconnected spaces L, such that C(K) is isomorphic to C(L). We prove that the space C(BH ) admits a Pełczyński decomposition and we provide a starshaped weakly compact K, subset of BH with non-empty interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected. Research partially...

Necessary conditions for weak lower semicontinuity on domains with infinite measure

Stefan Krömer (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We derive sharp necessary conditions for weak sequential lower semicontinuity of integral functionals on Sobolev spaces, with an integrand which only depends on the gradient of a scalar field over a domain in ℝ N . An emphasis is put on domains with infinite measure, and the integrand is allowed to assume the value + ∞ .

Tatjana Ostrogorski.

Janković, Slobodanka (2006)

Publications de l'Institut Mathématique. Nouvelle Série

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