FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950865731> ?p ?o ?g. }

• W2950865731 abstract "Let $A$ be a, not necessarily closed, linear relation in a Hilbert space $sH$ with a multivalued part $mul A$. An operator $B$ in $sH$ with $ran Bperpmul A^{**}$ is said to be an operator part of $A$ when $A=B hplus ({0}times mul A)$, where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for the existence of an operator part are established via the so-called canonical decomposition of $A$. In addition, conditions are developed for the decomposition to be orthogonal (components defined in orthogonal subspaces of the underlying space). Such orthogonal decompositions are shown to be valid for several classes of relations. The relation $A$ is said to have a Cartesian decomposition if $A=U+I V$, where $U$ and $V$ are symmetric relations and the sum is operatorwise. The connection between a Cartesian decomposition of $A$ and the real and imaginary parts of $A$ is investigated." @default.
• W2950865731 created "2019-06-27" @default.
• W2950865731 creator A5035262993 @default.
• W2950865731 creator A5060880914 @default.
• W2950865731 creator A5073325794 @default.
• W2950865731 date "2009-06-30" @default.
• W2950865731 modified "2023-09-27" @default.
• W2950865731 title "Componentwise and Cartesian decompositions of linear relations" @default.
• W2950865731 cites W1575147392 @default.
• W2950865731 cites W1584836543 @default.
• W2950865731 cites W1966950864 @default.
• W2950865731 cites W1988790042 @default.
• W2950865731 cites W1997902008 @default.
• W2950865731 cites W2005773176 @default.
• W2950865731 cites W2011347541 @default.
• W2950865731 cites W2042013562 @default.
• W2950865731 cites W2057141775 @default.
• W2950865731 cites W2059412329 @default.
• W2950865731 cites W2075777845 @default.
• W2950865731 cites W2086233450 @default.
• W2950865731 cites W2094553393 @default.
• W2950865731 cites W2103000107 @default.
• W2950865731 cites W2114163234 @default.
• W2950865731 cites W2150358749 @default.
• W2950865731 cites W2157032843 @default.
• W2950865731 cites W2324955678 @default.
• W2950865731 cites W166848188 @default.
• W2950865731 hasPublicationYear "2009" @default.
• W2950865731 type Work @default.
• W2950865731 sameAs 2950865731 @default.
• W2950865731 citedByCount "0" @default.
• W2950865731 crossrefType "posted-content" @default.
• W2950865731 hasAuthorship W2950865731A5035262993 @default.
• W2950865731 hasAuthorship W2950865731A5060880914 @default.
• W2950865731 hasAuthorship W2950865731A5073325794 @default.
• W2950865731 hasConcept C104317684 @default.
• W2950865731 hasConcept C111919701 @default.
• W2950865731 hasConcept C118615104 @default.
• W2950865731 hasConcept C121332964 @default.
• W2950865731 hasConcept C12362212 @default.
• W2950865731 hasConcept C124681953 @default.
• W2950865731 hasConcept C1276947 @default.
• W2950865731 hasConcept C130956294 @default.
• W2950865731 hasConcept C13355873 @default.
• W2950865731 hasConcept C134306372 @default.
• W2950865731 hasConcept C136119220 @default.
• W2950865731 hasConcept C158448853 @default.
• W2950865731 hasConcept C16038011 @default.
• W2950865731 hasConcept C17020691 @default.
• W2950865731 hasConcept C185592680 @default.
• W2950865731 hasConcept C18903297 @default.
• W2950865731 hasConcept C199360897 @default.
• W2950865731 hasConcept C202444582 @default.
• W2950865731 hasConcept C2524010 @default.
• W2950865731 hasConcept C25343380 @default.
• W2950865731 hasConcept C2777021972 @default.
• W2950865731 hasConcept C2778029271 @default.
• W2950865731 hasConcept C2778572836 @default.
• W2950865731 hasConcept C29705727 @default.
• W2950865731 hasConcept C33923547 @default.
• W2950865731 hasConcept C41008148 @default.
• W2950865731 hasConcept C49766605 @default.
• W2950865731 hasConcept C55493867 @default.
• W2950865731 hasConcept C62799726 @default.
• W2950865731 hasConcept C65236422 @default.
• W2950865731 hasConcept C77088390 @default.
• W2950865731 hasConcept C86339819 @default.
• W2950865731 hasConcept C86803240 @default.
• W2950865731 hasConceptScore W2950865731C104317684 @default.
• W2950865731 hasConceptScore W2950865731C111919701 @default.
• W2950865731 hasConceptScore W2950865731C118615104 @default.
• W2950865731 hasConceptScore W2950865731C121332964 @default.
• W2950865731 hasConceptScore W2950865731C12362212 @default.
• W2950865731 hasConceptScore W2950865731C124681953 @default.
• W2950865731 hasConceptScore W2950865731C1276947 @default.
• W2950865731 hasConceptScore W2950865731C130956294 @default.
• W2950865731 hasConceptScore W2950865731C13355873 @default.
• W2950865731 hasConceptScore W2950865731C134306372 @default.
• W2950865731 hasConceptScore W2950865731C136119220 @default.
• W2950865731 hasConceptScore W2950865731C158448853 @default.
• W2950865731 hasConceptScore W2950865731C16038011 @default.
• W2950865731 hasConceptScore W2950865731C17020691 @default.
• W2950865731 hasConceptScore W2950865731C185592680 @default.
• W2950865731 hasConceptScore W2950865731C18903297 @default.
• W2950865731 hasConceptScore W2950865731C199360897 @default.
• W2950865731 hasConceptScore W2950865731C202444582 @default.
• W2950865731 hasConceptScore W2950865731C2524010 @default.
• W2950865731 hasConceptScore W2950865731C25343380 @default.
• W2950865731 hasConceptScore W2950865731C2777021972 @default.
• W2950865731 hasConceptScore W2950865731C2778029271 @default.
• W2950865731 hasConceptScore W2950865731C2778572836 @default.
• W2950865731 hasConceptScore W2950865731C29705727 @default.
• W2950865731 hasConceptScore W2950865731C33923547 @default.
• W2950865731 hasConceptScore W2950865731C41008148 @default.
• W2950865731 hasConceptScore W2950865731C49766605 @default.
• W2950865731 hasConceptScore W2950865731C55493867 @default.
• W2950865731 hasConceptScore W2950865731C62799726 @default.
• W2950865731 hasConceptScore W2950865731C65236422 @default.
• W2950865731 hasConceptScore W2950865731C77088390 @default.
• W2950865731 hasConceptScore W2950865731C86339819 @default.

• next