Browsing by Subject "Idempotent"
Now showing items 1-3 of 3
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Pseudospectra of elements of reduced Banach algebras (Pre-published version)
(Springer, 2017)Let A be a Banach algebra with identity 1 and p ∈ A be a non-trivial idempotent. Then q = 1−p is also an idempotent. The subalgebras pAp and qAq are Banach algebras, called reduced Banach algebras, with identities p and q ... -
Pseudospectra of elements of reduced Banach algebras II (Pre-published version)
(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2018-06)Let A be a Banach algebra with identity 1 and p ∈ A be a non-trivial idempotent. Then q = 1 − p is also an idempotent. The subalgebras pAp and qAq are Banach algebras, called reduced Banach algebras, with identities p and ... -
Pseudospectrum of an element of a Banach algebra (Pre-published version)
(Element Publishing House, 2017-03)The ε -pseudospectrum Λε (a) of an element a of an arbitrary Banach algebra A is studied. Its relationships with the spectrum and numerical range of a are given. Characterizations of scalar, Hermitian and Hermitian idempotent ...