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Detectable subspaces and inverse problems for Hain–Lüst‐type operators
Author(s) -
Brown B. M.,
Marletta M.,
Naboko S. N.,
Wood I. G.
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500231
Subject(s) - mathematics , linear subspace , operator (biology) , type (biology) , inverse , subspace topology , pure mathematics , block (permutation group theory) , variety (cybernetics) , matrix (chemical analysis) , order (exchange) , combinatorics , mathematical analysis , statistics , geometry , ecology , materials science , repressor , biology , transcription factor , composite material , gene , biochemistry , chemistry , finance , economics
We examine the extent to which a block operator matrix of Hain–Lüst type can be reconstructed from its Titchmarsh–Weyl coefficients. The detectable subspace of the operator is determined in a variety of cases and the question of unique determination of the coefficients is considered for both first and second order operators.