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- W3119357410 abstract "Let H1, H2 be complex Hilbert spaces and T be a densely defined closed linear operator from its domain D(T), a dense subspace of H1, into H2. Let N(T) denote the null space of T and R(T) denote the range of T. Recall that C(T):= D(T) ∩ N(T)⊥ is called the carrier space of T and the reduced minimum modulus γ(T) of T is defined as: $${rm{gamma}}left(T right): = inf left{{left| {Tleft(x right)} right|:x in Cleft(T right),left| x right| = 1} right}.$$ Further, we say that T attains its reduced minimum modulus if there exists x0 ∈ C(T) such that ∥x0∥ = 1 and ∥T(x0)∥ = γ(T). We discuss some properties of operators that attain reduced minimum modulus. In particular, the following results are proved." @default.
- W3119357410 created "2021-01-18" @default.
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- W3119357410 date "2020-12-01" @default.
- W3119357410 modified "2023-09-25" @default.
- W3119357410 title "Operators that Attain Reduced Minimum" @default.
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- W3119357410 doi "https://doi.org/10.1007/s13226-020-0485-6" @default.
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