*- stan, a Persian suffix meaning " home of ", " place of "

Originally ælf / elf and its plural ælfe were the masculine forms, while the corresponding feminine form ( first found in eighth century glosses ) was ælfen or elfen ( with a possible feminine plural-ælfa, found in dunælfa ) which became the Middle English elven, using the feminine suffix-en from the earlier-inn which derives from the Proto-Germanic *- innja ).

Various generalizations of the Cauchy – Schwarz inequality exist in the context of operator theory, e. g. for operator-convex functions, and operator algebras, where the domain and / or range of φ are replaced by a C *- algebra or W *- algebra.

Among the typological features of Egyptian that are typically Afroasiatic are: fusional morphology, consonantal lexical roots, a series of emphatic consonants, a three-vowel system / a i u /, nominal feminine suffix *- at, nominal m -, adjectival *- ī, and characteristic personal verbal affixes.

*- Across the seas of darkness / The good green Earth is bright – / Oh, Star that was my homeland / Shine down on me tonight .-

*- Political / Animation: Persepolis

Several different such patterns have been discerned, but the commonest one, by a wide margin, is e / o / zero alternation found in a majority of roots, in many verb and noun stems, and even in some affixes ( the genitive singular ending, for example, is attested as *- es, *- os, and *- s ).

*- ian ( countries: Bahamas → Bahamian, Belarus → Belarusian, Belgium → Belgian, Bermuda → Bermudian, Brazil → Brazilian, Cameroon → Cameroonian, Canada → Canadian, Chad → Chadian, Egypt → Egyptian, Ecuador → Ecuadorian, Ghana → Ghanaian, Grenada → Grenadian, Iran → Iranian ( also " Irani " or " Persian "), Jordan → Jordanian, Laos → Laotian, Louisiana → Louisianian, Maldives → Maldivian, Palestine → Palestinian, Saint Vincent → Vincentian, Trinidad → Trinidadian, Ukraine → Ukrainian ; cities / states: Adelaide → Adelaidian, Athens → Athenian, Ballarat → Ballaratian, Boston → Bostonian, Brisbane → Brisbanian ( also " Brisbanite "), Calgary → Calgarian, Canary Islands → Canarian, Cardiff → Cardiffian, Castile → Castilian, Coventry → Coventrian, Edmonton → Edmontonian, Florida → Floridian, Fort Worth → Fort Worthian, Gibraltar → Gibraltarian, Hesse → Hessian, Houston → Houstonian, Isles of Scilly → Scillonian, Lethbridge → Lethbridgian, Liverpool → Liverpudlian, Louisville → Louisvillian, Madrid → Madrilenian, Manchester → Mancunian, McKinney → McKinnian, Melbourne → Melburnian, New Guinea → New Guinian, New Orleans → New Orleanian, Oregon → Oregonian, Paris → Parisian, Peterborough → Peterborian, Phoenix → Phoenician, Saskatoon → Saskatonian ( Saskabusher ), Thrace → Thracian, Washington → Washingtonian, Wellington → Wellingtonian )

*- ic ( Hispania → Hispanic, Turk → Turkic ) derives from a Latinate suffix widely used outside ethnonyms ( e. g., chemical compounds ), which with regard to people is mostly used adjectivally ( Semite vs. Semitic, Arab / Arabian vs. Arabic ) to refer to a wider ethnic or linguistic group ( Turkic vs. Turkish, Finnic vs. Finnish ).

factors through a norm on A / I, which except for completeness, is a C * norm on A / I ( these are sometimes called pre-C *- norms ).

Taking the completion of A / I relative to this pre-C *- norm produces a C *- algebra B.

*- Aoraki / Mount Cook National Park Education Resource 2009

In fact, when A is a commutative unital C *- algebra, the Gelfand representation is then an isometric *- isomorphism between A and C ( Δ ( A )).

A bounded linear map, π: A → B, between C *- algebras A and B is called a *- homomorphism if

In the case of C *- algebras, any *- homomorphism π between C *- algebras is non-expansive, i. e. bounded with norm ≤ 1.

Furthermore, an injective *- homomorphism between C *- algebras is isometric.

A linear map Φ between C *- algebras is said to be a positive map if a ≥ 0 implies Φ ( a ) ≥ 0.

Theorem ( Modified Schwarz inequality for 2-positive maps ) For a 2-positive map Φ between C *- algebras, for all a, b in its domain,

In functional analysis, a discipline within mathematics, given a C *- algebra A, the Gelfand – Naimark – Segal construction establishes a correspondence between cyclic *- representations of A and certain linear functionals on A ( called states ).

The program has its origins in the Gel ' fand duality between the topology of locally compact spaces and the algebraic structure of commutative C *- algebras.

The partial trace map as given above induces a dual map between the C *- algebras of bounded operators on and given by

Therefore we can say a channel is a unital CP map between C *- algebras:

may increase without bound as The solution is to introduce, for any linear map Φ between C *- algebras, the cb-norm

The relationship between commutative von Neumann algebras and measure spaces is analogous to that between commutative C *- algebras and locally compact Hausdorff spaces.

The most common arguments in favour of a relationship between Indo-European and Uralic are based on seemingly common elements of morphology, such as the pronominal roots (* m-for first person ; * t-for second person ; * i-for third person ), case markings ( accusative *- m ; ablative / partitive *- ta ), interrogative / relative pronouns (* kʷ-' who ?, which?

*- 1997 to-1500: The ' War of the Beard ' between the elves and dwarfs, which tore the Old World apart, causes the city's downfall.

The Gelfand-Fourier transform is an isomorphism between the group C *- algebra C *( G ) and C < sub > 0 </ sub >( G ^).

*- inday uno – I don't know

*- Bhaderwah: The Unexplored Paradise On Earth

*- Bhaderwah: The Unexplored Paradise On Earth

As it is now known that all B *- algebras are C *- algebras ( and vice versa ), the term B *- algebra is no longer widely used.

C *- algebras ( pronounced " C-star ") are an important area of research in functional analysis, a branch of mathematics.

These papers considered a special class of C *- algebras which are now known as von Neumann algebras.

C *- algebras are now an important tool in the theory of unitary representations of locally compact groups, and are also used in algebraic formulations of quantum mechanics.

These are consequences of the C *- identity.

A bijective *- homomorphism π is called a C *- isomorphism, in which case A and B are said to be isomorphic.

In fact, all C *- algebras that are finite dimensional as vector spaces are of this form, up to isomorphism.

The self-adjoint requirement means finite-dimensional C *- algebras are semisimple, from which fact one can deduce the following theorem of Artin – Wedderburn type:

If ƒ and g are elements of a C *- algebra, f * and g * denote their respective adjoints.

Inverse semigroups are exactly those semigroups that are both I-semigroups and *- semigroups.

In a *- regular semigroup S one can identify a special subset of idempotents F ( S ) called a P-system ; every element a of the semigroup has exactly one inverse a * such that aa * and a * a are in F ( S ).

The P-systems of Yamada are based upon the notion of regular *- semigroup as defined by Nordahl and Scheiblich.

However, instead of simply considering the space of ultrafilters on, the right way to generalize this construction is to consider the Stone space of the measure algebra of: the spaces and are isomorphic as C *- algebras as long as satisfies a reasonable finiteness condition ( that any set of positive measure contains a subset of finite positive measure ).