A signi? cant sector of the development of spectral theory outside the classical area of
Hilbert space may be found amongst at multipliers de? ned on a complex commutative …

The main focus of this book is on bounded linear operators on complex infinitedimensional
Banach spaces and their spectral properties. In recent years spectral theory, which has …

We consider a Banach space X and the Banach algebra L (X) of bounded linear operators
acting on X. For T∈ L (X) we will denote by N (T) the null space of T, by α (T) the nullity of T …

In this paper, for a bounded linear operator defined on a complex Banach space of infinite
dimension, we consider the set of isolated points in its approximate point spectrum, which …

ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM
Page 1 Glasgow Math. J. 48 (2006) 179–185. C 2006 Glasgow Mathematical Journal Trust …

Let T be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of T is
the set σBW (T) of all λ∈ Сsuch that T− λI is not a B-Fredholm operator of index 0. Let E (T) …

Let T be a bounded linear operator acting on a Banach space and let σ BW (T)={λ∈ C such
that T− λI is not a B-Fredholm operator of index 0} be the B-Weyl spectrum of T. Define also …

An operator $ T $ acting on a Banach space $ X $ possesses property $({\rm gw}) $ if
$\sigma _a (T)\setminus\sigma _ {{\rm SBF} _+^-}(T)= E (T), $ where $\sigma _a (T) $ is the …

Let T be an algebraically paranormal operator acting on Hilbert space. We prove:(i) Weyl's
theorem holds for f (T) for every f ∈ H (σ (T));(ii) a-Browder's theorem holds for f (S) for every …

<noindent MATEMATIQKI VESNIK < hfill originalni nauqni rad <hspace ∗1< fill l62 , 2 ( 20 1
0 ) , 1 45 -- 1 54 < Page 1 <noindent MATEMATIQKI VESNIK < hfill originalni nauqni rad <hspace …